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Finding the Fourth Proportional to 280.60, 387.40 and 187.48

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Solution

The fourth proportional to 280.60, 387.40 and 187.48 is: 258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.60 : 387.40 = 187.48 : x
  2. Step 2: Convert to fraction form
    280.60/387.40 = 187.48/x
  3. Step 3: Cross multiply
    280.60x = 387.40 × 187.48
  4. Step 4: Simplify right side
    280.60x = 72,629.75
  5. Step 5: Solve for x
    x = 72,629.75/280.60
  6. Step 6: Final answer
    x = 258.84

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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.