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Finding the Fourth Proportional to 610.64, 916.16 and 194.24

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Solution

The fourth proportional to 610.64, 916.16 and 194.24 is: 291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.64 : 916.16 = 194.24 : x
  2. Step 2: Convert to fraction form
    610.64/916.16 = 194.24/x
  3. Step 3: Cross multiply
    610.64x = 916.16 × 194.24
  4. Step 4: Simplify right side
    610.64x = 177,949.37
  5. Step 5: Solve for x
    x = 177,949.37/610.64
  6. Step 6: Final answer
    x = 291.42

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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.