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Finding the Fourth Proportional to 237.89, 328.34 and 144.70

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Solution

The fourth proportional to 237.89, 328.34 and 144.70 is: 199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.89 : 328.34 = 144.70 : x
  2. Step 2: Convert to fraction form
    237.89/328.34 = 144.70/x
  3. Step 3: Cross multiply
    237.89x = 328.34 × 144.70
  4. Step 4: Simplify right side
    237.89x = 47,510.80
  5. Step 5: Solve for x
    x = 47,510.80/237.89
  6. Step 6: Final answer
    x = 199.72

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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.