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Finding the Fourth Proportional to 317.66, 476.47 and 101.22

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Solution

The fourth proportional to 317.66, 476.47 and 101.22 is: 151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.66 : 476.47 = 101.22 : x
  2. Step 2: Convert to fraction form
    317.66/476.47 = 101.22/x
  3. Step 3: Cross multiply
    317.66x = 476.47 × 101.22
  4. Step 4: Simplify right side
    317.66x = 48,227.69
  5. Step 5: Solve for x
    x = 48,227.69/317.66
  6. Step 6: Final answer
    x = 151.82

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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.