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Finding the Fourth Proportional to 279.92, 420.72 and 184.40

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Solution

The fourth proportional to 279.92, 420.72 and 184.40 is: 277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.92 : 420.72 = 184.40 : x
  2. Step 2: Convert to fraction form
    279.92/420.72 = 184.40/x
  3. Step 3: Cross multiply
    279.92x = 420.72 × 184.40
  4. Step 4: Simplify right side
    279.92x = 77,580.77
  5. Step 5: Solve for x
    x = 77,580.77/279.92
  6. Step 6: Final answer
    x = 277.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.