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Finding the Fourth Proportional to 305.92, 458.88 and 177.60

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Solution

The fourth proportional to 305.92, 458.88 and 177.60 is: 266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.92 : 458.88 = 177.60 : x
  2. Step 2: Convert to fraction form
    305.92/458.88 = 177.60/x
  3. Step 3: Cross multiply
    305.92x = 458.88 × 177.60
  4. Step 4: Simplify right side
    305.92x = 81,497.09
  5. Step 5: Solve for x
    x = 81,497.09/305.92
  6. Step 6: Final answer
    x = 266.40

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Why These Related Problems?

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