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Finding the Fourth Proportional to 317.90, 476.54 and 135.34

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Solution

The fourth proportional to 317.90, 476.54 and 135.34 is: 202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.90 : 476.54 = 135.34 : x
  2. Step 2: Convert to fraction form
    317.90/476.54 = 135.34/x
  3. Step 3: Cross multiply
    317.90x = 476.54 × 135.34
  4. Step 4: Simplify right side
    317.90x = 64,494.92
  5. Step 5: Solve for x
    x = 64,494.92/317.90
  6. Step 6: Final answer
    x = 202.88

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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.