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Finding the Fourth Proportional to 155.90, 232.27 and 148.15

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Solution

The fourth proportional to 155.90, 232.27 and 148.15 is: 220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.90 : 232.27 = 148.15 : x
  2. Step 2: Convert to fraction form
    155.90/232.27 = 148.15/x
  3. Step 3: Cross multiply
    155.90x = 232.27 × 148.15
  4. Step 4: Simplify right side
    155.90x = 34,412.31
  5. Step 5: Solve for x
    x = 34,412.31/155.90
  6. Step 6: Final answer
    x = 220.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.