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Finding the Fourth Proportional to 275.78, 412.90 and 153.74

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Solution

The fourth proportional to 275.78, 412.90 and 153.74 is: 230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 412.90 = 153.74 : x
  2. Step 2: Convert to fraction form
    275.78/412.90 = 153.74/x
  3. Step 3: Cross multiply
    275.78x = 412.90 × 153.74
  4. Step 4: Simplify right side
    275.78x = 63,479.25
  5. Step 5: Solve for x
    x = 63,479.25/275.78
  6. Step 6: Final answer
    x = 230.18

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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.