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Finding the Fourth Proportional to 296.84, 445.08 and 174.84

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Solution

The fourth proportional to 296.84, 445.08 and 174.84 is: 262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.84 : 445.08 = 174.84 : x
  2. Step 2: Convert to fraction form
    296.84/445.08 = 174.84/x
  3. Step 3: Cross multiply
    296.84x = 445.08 × 174.84
  4. Step 4: Simplify right side
    296.84x = 77,817.79
  5. Step 5: Solve for x
    x = 77,817.79/296.84
  6. Step 6: Final answer
    x = 262.16

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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.