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Finding the Fourth Proportional to 237.78, 328.14 and 144.49

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Solution

The fourth proportional to 237.78, 328.14 and 144.49 is: 199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 328.14 = 144.49 : x
  2. Step 2: Convert to fraction form
    237.78/328.14 = 144.49/x
  3. Step 3: Cross multiply
    237.78x = 328.14 × 144.49
  4. Step 4: Simplify right side
    237.78x = 47,412.95
  5. Step 5: Solve for x
    x = 47,412.95/237.78
  6. Step 6: Final answer
    x = 199.40

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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.