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Finding the Fourth Proportional to 316.10, 473.80 and 142.91

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Solution

The fourth proportional to 316.10, 473.80 and 142.91 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.10 : 473.80 = 142.91 : x
  2. Step 2: Convert to fraction form
    316.10/473.80 = 142.91/x
  3. Step 3: Cross multiply
    316.10x = 473.80 × 142.91
  4. Step 4: Simplify right side
    316.10x = 67,712.74
  5. Step 5: Solve for x
    x = 67,712.74/316.10
  6. Step 6: Final answer
    x = 214.21

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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.