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Finding the Fourth Proportional to 317.30, 475.64 and 100.72

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Solution

The fourth proportional to 317.30, 475.64 and 100.72 is: 150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.30 : 475.64 = 100.72 : x
  2. Step 2: Convert to fraction form
    317.30/475.64 = 100.72/x
  3. Step 3: Cross multiply
    317.30x = 475.64 × 100.72
  4. Step 4: Simplify right side
    317.30x = 47,906.46
  5. Step 5: Solve for x
    x = 47,906.46/317.30
  6. Step 6: Final answer
    x = 150.98

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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.