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Finding the Fourth Proportional to 230.16, 317.72 and 156.44

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Solution

The fourth proportional to 230.16, 317.72 and 156.44 is: 215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.16 : 317.72 = 156.44 : x
  2. Step 2: Convert to fraction form
    230.16/317.72 = 156.44/x
  3. Step 3: Cross multiply
    230.16x = 317.72 × 156.44
  4. Step 4: Simplify right side
    230.16x = 49,704.12
  5. Step 5: Solve for x
    x = 49,704.12/230.16
  6. Step 6: Final answer
    x = 215.95

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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.