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Finding the Fourth Proportional to 729.98, 1,095.16 and 210.02

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Solution

The fourth proportional to 729.98, 1,095.16 and 210.02 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.98 : 1,095.16 = 210.02 : x
  2. Step 2: Convert to fraction form
    729.98/1,095.16 = 210.02/x
  3. Step 3: Cross multiply
    729.98x = 1,095.16 × 210.02
  4. Step 4: Simplify right side
    729.98x = 230,010.28
  5. Step 5: Solve for x
    x = 230,010.28/729.98
  6. Step 6: Final answer
    x = 315.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.