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Finding the Fourth Proportional to 296.64, 445.12 and 175.04

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Solution

The fourth proportional to 296.64, 445.12 and 175.04 is: 262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 445.12 = 175.04 : x
  2. Step 2: Convert to fraction form
    296.64/445.12 = 175.04/x
  3. Step 3: Cross multiply
    296.64x = 445.12 × 175.04
  4. Step 4: Simplify right side
    296.64x = 77,913.80
  5. Step 5: Solve for x
    x = 77,913.80/296.64
  6. Step 6: Final answer
    x = 262.65

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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.