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Finding the Fourth Proportional to 155.70, 232.43 and 145.46

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Solution

The fourth proportional to 155.70, 232.43 and 145.46 is: 217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.70 : 232.43 = 145.46 : x
  2. Step 2: Convert to fraction form
    155.70/232.43 = 145.46/x
  3. Step 3: Cross multiply
    155.70x = 232.43 × 145.46
  4. Step 4: Simplify right side
    155.70x = 33,809.27
  5. Step 5: Solve for x
    x = 33,809.27/155.70
  6. Step 6: Final answer
    x = 217.14

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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.