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Finding the Fourth Proportional to 560.92, 841.44 and 176.20

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Solution

The fourth proportional to 560.92, 841.44 and 176.20 is: 264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.92 : 841.44 = 176.20 : x
  2. Step 2: Convert to fraction form
    560.92/841.44 = 176.20/x
  3. Step 3: Cross multiply
    560.92x = 841.44 × 176.20
  4. Step 4: Simplify right side
    560.92x = 148,261.73
  5. Step 5: Solve for x
    x = 148,261.73/560.92
  6. Step 6: Final answer
    x = 264.32

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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.