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Finding the Fourth Proportional to 155.71, 232.75 and 141.94

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Solution

The fourth proportional to 155.71, 232.75 and 141.94 is: 212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.71 : 232.75 = 141.94 : x
  2. Step 2: Convert to fraction form
    155.71/232.75 = 141.94/x
  3. Step 3: Cross multiply
    155.71x = 232.75 × 141.94
  4. Step 4: Simplify right side
    155.71x = 33,036.54
  5. Step 5: Solve for x
    x = 33,036.54/155.71
  6. Step 6: Final answer
    x = 212.17

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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.