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Finding the Fourth Proportional to 611.06, 916.48 and 178.11

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Solution

The fourth proportional to 611.06, 916.48 and 178.11 is: 267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.06 : 916.48 = 178.11 : x
  2. Step 2: Convert to fraction form
    611.06/916.48 = 178.11/x
  3. Step 3: Cross multiply
    611.06x = 916.48 × 178.11
  4. Step 4: Simplify right side
    611.06x = 163,234.25
  5. Step 5: Solve for x
    x = 163,234.25/611.06
  6. Step 6: Final answer
    x = 267.14

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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.