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Finding the Fourth Proportional to 610.88, 916.50 and 178.04

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Solution

The fourth proportional to 610.88, 916.50 and 178.04 is: 267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.88 : 916.50 = 178.04 : x
  2. Step 2: Convert to fraction form
    610.88/916.50 = 178.04/x
  3. Step 3: Cross multiply
    610.88x = 916.50 × 178.04
  4. Step 4: Simplify right side
    610.88x = 163,173.66
  5. Step 5: Solve for x
    x = 163,173.66/610.88
  6. Step 6: Final answer
    x = 267.11

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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.