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Finding the Fourth Proportional to 280.46, 387 and 175.55

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Solution

The fourth proportional to 280.46, 387 and 175.55 is: 242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.46 : 387 = 175.55 : x
  2. Step 2: Convert to fraction form
    280.46/387 = 175.55/x
  3. Step 3: Cross multiply
    280.46x = 387 × 175.55
  4. Step 4: Simplify right side
    280.46x = 67,937.85
  5. Step 5: Solve for x
    x = 67,937.85/280.46
  6. Step 6: Final answer
    x = 242.24

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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.