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Finding the Fourth Proportional to 317.72, 476.36 and 135.06

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Solution

The fourth proportional to 317.72, 476.36 and 135.06 is: 202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.72 : 476.36 = 135.06 : x
  2. Step 2: Convert to fraction form
    317.72/476.36 = 135.06/x
  3. Step 3: Cross multiply
    317.72x = 476.36 × 135.06
  4. Step 4: Simplify right side
    317.72x = 64,337.18
  5. Step 5: Solve for x
    x = 64,337.18/317.72
  6. Step 6: Final answer
    x = 202.50

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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.