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Finding the Fourth Proportional to 296.32, 442.02 and 250.96

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Solution

The fourth proportional to 296.32, 442.02 and 250.96 is: 374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.32 : 442.02 = 250.96 : x
  2. Step 2: Convert to fraction form
    296.32/442.02 = 250.96/x
  3. Step 3: Cross multiply
    296.32x = 442.02 × 250.96
  4. Step 4: Simplify right side
    296.32x = 110,929.34
  5. Step 5: Solve for x
    x = 110,929.34/296.32
  6. Step 6: Final answer
    x = 374.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.