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Finding the Fourth Proportional to 317.94, 476.96 and 135.36

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Solution

The fourth proportional to 317.94, 476.96 and 135.36 is: 203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.94 : 476.96 = 135.36 : x
  2. Step 2: Convert to fraction form
    317.94/476.96 = 135.36/x
  3. Step 3: Cross multiply
    317.94x = 476.96 × 135.36
  4. Step 4: Simplify right side
    317.94x = 64,561.31
  5. Step 5: Solve for x
    x = 64,561.31/317.94
  6. Step 6: Final answer
    x = 203.06

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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.