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Finding the Fourth Proportional to 244.10, 337.14 and 178.01

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Solution

The fourth proportional to 244.10, 337.14 and 178.01 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.10 : 337.14 = 178.01 : x
  2. Step 2: Convert to fraction form
    244.10/337.14 = 178.01/x
  3. Step 3: Cross multiply
    244.10x = 337.14 × 178.01
  4. Step 4: Simplify right side
    244.10x = 60,012.42
  5. Step 5: Solve for x
    x = 60,012.42/244.10
  6. Step 6: Final answer
    x = 245.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.