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Finding the Fourth Proportional to 560.88, 841.45 and 176.13

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Solution

The fourth proportional to 560.88, 841.45 and 176.13 is: 264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.88 : 841.45 = 176.13 : x
  2. Step 2: Convert to fraction form
    560.88/841.45 = 176.13/x
  3. Step 3: Cross multiply
    560.88x = 841.45 × 176.13
  4. Step 4: Simplify right side
    560.88x = 148,199.94
  5. Step 5: Solve for x
    x = 148,199.94/560.88
  6. Step 6: Final answer
    x = 264.23

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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.