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Finding the Fourth Proportional to 210.29, 315.65 and 114.17

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Solution

The fourth proportional to 210.29, 315.65 and 114.17 is: 171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.29 : 315.65 = 114.17 : x
  2. Step 2: Convert to fraction form
    210.29/315.65 = 114.17/x
  3. Step 3: Cross multiply
    210.29x = 315.65 × 114.17
  4. Step 4: Simplify right side
    210.29x = 36,037.19
  5. Step 5: Solve for x
    x = 36,037.19/210.29
  6. Step 6: Final answer
    x = 171.37

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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.