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Finding the Fourth Proportional to 230.48, 318.15 and 157.04

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Solution

The fourth proportional to 230.48, 318.15 and 157.04 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.48 : 318.15 = 157.04 : x
  2. Step 2: Convert to fraction form
    230.48/318.15 = 157.04/x
  3. Step 3: Cross multiply
    230.48x = 318.15 × 157.04
  4. Step 4: Simplify right side
    230.48x = 49,962.28
  5. Step 5: Solve for x
    x = 49,962.28/230.48
  6. Step 6: Final answer
    x = 216.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.