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Finding the Fourth Proportional to 230.78, 318.58 and 157.16

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Solution

The fourth proportional to 230.78, 318.58 and 157.16 is: 216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.78 : 318.58 = 157.16 : x
  2. Step 2: Convert to fraction form
    230.78/318.58 = 157.16/x
  3. Step 3: Cross multiply
    230.78x = 318.58 × 157.16
  4. Step 4: Simplify right side
    230.78x = 50,068.03
  5. Step 5: Solve for x
    x = 50,068.03/230.78
  6. Step 6: Final answer
    x = 216.95

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Why These Related Problems?

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