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Finding the Fourth Proportional to 296.59, 445.02 and 174.89

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Solution

The fourth proportional to 296.59, 445.02 and 174.89 is: 262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.59 : 445.02 = 174.89 : x
  2. Step 2: Convert to fraction form
    296.59/445.02 = 174.89/x
  3. Step 3: Cross multiply
    296.59x = 445.02 × 174.89
  4. Step 4: Simplify right side
    296.59x = 77,829.55
  5. Step 5: Solve for x
    x = 77,829.55/296.59
  6. Step 6: Final answer
    x = 262.41

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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.