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Finding the Fourth Proportional to 280.99, 387.78 and 176.13

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Solution

The fourth proportional to 280.99, 387.78 and 176.13 is: 243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.99 : 387.78 = 176.13 : x
  2. Step 2: Convert to fraction form
    280.99/387.78 = 176.13/x
  3. Step 3: Cross multiply
    280.99x = 387.78 × 176.13
  4. Step 4: Simplify right side
    280.99x = 68,299.03
  5. Step 5: Solve for x
    x = 68,299.03/280.99
  6. Step 6: Final answer
    x = 243.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.