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Finding the Fourth Proportional to 237.79, 328.47 and 198.59

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Solution

The fourth proportional to 237.79, 328.47 and 198.59 is: 274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.79 : 328.47 = 198.59 : x
  2. Step 2: Convert to fraction form
    237.79/328.47 = 198.59/x
  3. Step 3: Cross multiply
    237.79x = 328.47 × 198.59
  4. Step 4: Simplify right side
    237.79x = 65,228.47
  5. Step 5: Solve for x
    x = 65,228.47/237.79
  6. Step 6: Final answer
    x = 274.31

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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.