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Finding the Fourth Proportional to 296.68, 444.88 and 174.99

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Solution

The fourth proportional to 296.68, 444.88 and 174.99 is: 262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.68 : 444.88 = 174.99 : x
  2. Step 2: Convert to fraction form
    296.68/444.88 = 174.99/x
  3. Step 3: Cross multiply
    296.68x = 444.88 × 174.99
  4. Step 4: Simplify right side
    296.68x = 77,849.55
  5. Step 5: Solve for x
    x = 77,849.55/296.68
  6. Step 6: Final answer
    x = 262.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.