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Finding the Fourth Proportional to 237.60, 328.05 and 154.92

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Solution

The fourth proportional to 237.60, 328.05 and 154.92 is: 213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 328.05 = 154.92 : x
  2. Step 2: Convert to fraction form
    237.60/328.05 = 154.92/x
  3. Step 3: Cross multiply
    237.60x = 328.05 × 154.92
  4. Step 4: Simplify right side
    237.60x = 50,821.51
  5. Step 5: Solve for x
    x = 50,821.51/237.60
  6. Step 6: Final answer
    x = 213.90

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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.