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Finding the Fourth Proportional to 275.49, 412.40 and 153.38

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Solution

The fourth proportional to 275.49, 412.40 and 153.38 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.49 : 412.40 = 153.38 : x
  2. Step 2: Convert to fraction form
    275.49/412.40 = 153.38/x
  3. Step 3: Cross multiply
    275.49x = 412.40 × 153.38
  4. Step 4: Simplify right side
    275.49x = 63,253.91
  5. Step 5: Solve for x
    x = 63,253.91/275.49
  6. Step 6: Final answer
    x = 229.61

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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.