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Finding the Fourth Proportional to 317.63, 476.16 and 135.15

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Solution

The fourth proportional to 317.63, 476.16 and 135.15 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.63 : 476.16 = 135.15 : x
  2. Step 2: Convert to fraction form
    317.63/476.16 = 135.15/x
  3. Step 3: Cross multiply
    317.63x = 476.16 × 135.15
  4. Step 4: Simplify right side
    317.63x = 64,353.02
  5. Step 5: Solve for x
    x = 64,353.02/317.63
  6. Step 6: Final answer
    x = 202.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.