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Finding the Fourth Proportional to 280.69, 387.54 and 175.82

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Solution

The fourth proportional to 280.69, 387.54 and 175.82 is: 242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.69 : 387.54 = 175.82 : x
  2. Step 2: Convert to fraction form
    280.69/387.54 = 175.82/x
  3. Step 3: Cross multiply
    280.69x = 387.54 × 175.82
  4. Step 4: Simplify right side
    280.69x = 68,135.17
  5. Step 5: Solve for x
    x = 68,135.17/280.69
  6. Step 6: Final answer
    x = 242.75

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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.