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Finding the Fourth Proportional to 296.34, 444.66 and 123.09

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Solution

The fourth proportional to 296.34, 444.66 and 123.09 is: 184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 444.66 = 123.09 : x
  2. Step 2: Convert to fraction form
    296.34/444.66 = 123.09/x
  3. Step 3: Cross multiply
    296.34x = 444.66 × 123.09
  4. Step 4: Simplify right side
    296.34x = 54,733.20
  5. Step 5: Solve for x
    x = 54,733.20/296.34
  6. Step 6: Final answer
    x = 184.70

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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.