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Finding the Fourth Proportional to 785.18, 1,177.56 and 237.22

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Solution

The fourth proportional to 785.18, 1,177.56 and 237.22 is: 355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.18 : 1,177.56 = 237.22 : x
  2. Step 2: Convert to fraction form
    785.18/1,177.56 = 237.22/x
  3. Step 3: Cross multiply
    785.18x = 1,177.56 × 237.22
  4. Step 4: Simplify right side
    785.18x = 279,334.90
  5. Step 5: Solve for x
    x = 279,334.90/785.18
  6. Step 6: Final answer
    x = 355.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.