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Finding the Fourth Proportional to 178.93, 267.99 and 130.06

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Solution

The fourth proportional to 178.93, 267.99 and 130.06 is: 194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.93 : 267.99 = 130.06 : x
  2. Step 2: Convert to fraction form
    178.93/267.99 = 130.06/x
  3. Step 3: Cross multiply
    178.93x = 267.99 × 130.06
  4. Step 4: Simplify right side
    178.93x = 34,854.78
  5. Step 5: Solve for x
    x = 34,854.78/178.93
  6. Step 6: Final answer
    x = 194.80

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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.