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Finding the Fourth Proportional to 210.15, 289.22 and 180.99

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Solution

The fourth proportional to 210.15, 289.22 and 180.99 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.15 : 289.22 = 180.99 : x
  2. Step 2: Convert to fraction form
    210.15/289.22 = 180.99/x
  3. Step 3: Cross multiply
    210.15x = 289.22 × 180.99
  4. Step 4: Simplify right side
    210.15x = 52,345.02
  5. Step 5: Solve for x
    x = 52,345.02/210.15
  6. Step 6: Final answer
    x = 249.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.