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Finding the Fourth Proportional to 237.72, 355.13 and 189.68

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Solution

The fourth proportional to 237.72, 355.13 and 189.68 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.72 : 355.13 = 189.68 : x
  2. Step 2: Convert to fraction form
    237.72/355.13 = 189.68/x
  3. Step 3: Cross multiply
    237.72x = 355.13 × 189.68
  4. Step 4: Simplify right side
    237.72x = 67,360.11
  5. Step 5: Solve for x
    x = 67,360.11/237.72
  6. Step 6: Final answer
    x = 283.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.