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Finding the Fourth Proportional to 560.70, 841.17 and 195.42

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Solution

The fourth proportional to 560.70, 841.17 and 195.42 is: 293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.70 : 841.17 = 195.42 : x
  2. Step 2: Convert to fraction form
    560.70/841.17 = 195.42/x
  3. Step 3: Cross multiply
    560.70x = 841.17 × 195.42
  4. Step 4: Simplify right side
    560.70x = 164,381.44
  5. Step 5: Solve for x
    x = 164,381.44/560.70
  6. Step 6: Final answer
    x = 293.17

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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.