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Finding the Fourth Proportional to 280.58, 386.82 and 187.34

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Solution

The fourth proportional to 280.58, 386.82 and 187.34 is: 258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.58 : 386.82 = 187.34 : x
  2. Step 2: Convert to fraction form
    280.58/386.82 = 187.34/x
  3. Step 3: Cross multiply
    280.58x = 386.82 × 187.34
  4. Step 4: Simplify right side
    280.58x = 72,466.86
  5. Step 5: Solve for x
    x = 72,466.86/280.58
  6. Step 6: Final answer
    x = 258.28

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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.