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Finding the Fourth Proportional to 155.70, 232 and 148.40

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Solution

The fourth proportional to 155.70, 232 and 148.40 is: 221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.70 : 232 = 148.40 : x
  2. Step 2: Convert to fraction form
    155.70/232 = 148.40/x
  3. Step 3: Cross multiply
    155.70x = 232 × 148.40
  4. Step 4: Simplify right side
    155.70x = 34,428.80
  5. Step 5: Solve for x
    x = 34,428.80/155.70
  6. Step 6: Final answer
    x = 221.12

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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.