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Finding the Fourth Proportional to 237.79, 328.15 and 139.54

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Solution

The fourth proportional to 237.79, 328.15 and 139.54 is: 192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.79 : 328.15 = 139.54 : x
  2. Step 2: Convert to fraction form
    237.79/328.15 = 139.54/x
  3. Step 3: Cross multiply
    237.79x = 328.15 × 139.54
  4. Step 4: Simplify right side
    237.79x = 45,788.64
  5. Step 5: Solve for x
    x = 45,788.64/237.79
  6. Step 6: Final answer
    x = 192.56

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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.