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Finding the Fourth Proportional to 317.74, 476.70 and 135.16

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Solution

The fourth proportional to 317.74, 476.70 and 135.16 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.74 : 476.70 = 135.16 : x
  2. Step 2: Convert to fraction form
    317.74/476.70 = 135.16/x
  3. Step 3: Cross multiply
    317.74x = 476.70 × 135.16
  4. Step 4: Simplify right side
    317.74x = 64,430.77
  5. Step 5: Solve for x
    x = 64,430.77/317.74
  6. Step 6: Final answer
    x = 202.78

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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.