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Finding the Fourth Proportional to 611.35, 916.92 and 178.40

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Solution

The fourth proportional to 611.35, 916.92 and 178.40 is: 267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.35 : 916.92 = 178.40 : x
  2. Step 2: Convert to fraction form
    611.35/916.92 = 178.40/x
  3. Step 3: Cross multiply
    611.35x = 916.92 × 178.40
  4. Step 4: Simplify right side
    611.35x = 163,580.82
  5. Step 5: Solve for x
    x = 163,580.82/611.35
  6. Step 6: Final answer
    x = 267.57

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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.