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Finding the Fourth Proportional to 210.29, 315.23 and 102.02

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Solution

The fourth proportional to 210.29, 315.23 and 102.02 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.29 : 315.23 = 102.02 : x
  2. Step 2: Convert to fraction form
    210.29/315.23 = 102.02/x
  3. Step 3: Cross multiply
    210.29x = 315.23 × 102.02
  4. Step 4: Simplify right side
    210.29x = 32,160.04
  5. Step 5: Solve for x
    x = 32,160.04/210.29
  6. Step 6: Final answer
    x = 152.93

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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.