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Finding the Fourth Proportional to 296.64, 444.82 and 123.28

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Solution

The fourth proportional to 296.64, 444.82 and 123.28 is: 184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 444.82 = 123.28 : x
  2. Step 2: Convert to fraction form
    296.64/444.82 = 123.28/x
  3. Step 3: Cross multiply
    296.64x = 444.82 × 123.28
  4. Step 4: Simplify right side
    296.64x = 54,837.41
  5. Step 5: Solve for x
    x = 54,837.41/296.64
  6. Step 6: Final answer
    x = 184.86

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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.