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Finding the Fourth Proportional to 296.34, 444.65 and 174.65

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Solution

The fourth proportional to 296.34, 444.65 and 174.65 is: 262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 444.65 = 174.65 : x
  2. Step 2: Convert to fraction form
    296.34/444.65 = 174.65/x
  3. Step 3: Cross multiply
    296.34x = 444.65 × 174.65
  4. Step 4: Simplify right side
    296.34x = 77,655.03
  5. Step 5: Solve for x
    x = 77,655.03/296.34
  6. Step 6: Final answer
    x = 262.05

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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.