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Finding the Fourth Proportional to 237.85, 328.66 and 185.52

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Solution

The fourth proportional to 237.85, 328.66 and 185.52 is: 256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.85 : 328.66 = 185.52 : x
  2. Step 2: Convert to fraction form
    237.85/328.66 = 185.52/x
  3. Step 3: Cross multiply
    237.85x = 328.66 × 185.52
  4. Step 4: Simplify right side
    237.85x = 60,973.77
  5. Step 5: Solve for x
    x = 60,973.77/237.85
  6. Step 6: Final answer
    x = 256.36

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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.