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Finding the Fourth Proportional to 153.47, 230.31 and 146.86

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Solution

The fourth proportional to 153.47, 230.31 and 146.86 is: 220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.47 : 230.31 = 146.86 : x
  2. Step 2: Convert to fraction form
    153.47/230.31 = 146.86/x
  3. Step 3: Cross multiply
    153.47x = 230.31 × 146.86
  4. Step 4: Simplify right side
    153.47x = 33,822.75
  5. Step 5: Solve for x
    x = 33,822.75/153.47
  6. Step 6: Final answer
    x = 220.38

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Why These Related Problems?

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