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Finding the Fourth Proportional to 560.25, 840.26 and 195.03

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Solution

The fourth proportional to 560.25, 840.26 and 195.03 is: 292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.25 : 840.26 = 195.03 : x
  2. Step 2: Convert to fraction form
    560.25/840.26 = 195.03/x
  3. Step 3: Cross multiply
    560.25x = 840.26 × 195.03
  4. Step 4: Simplify right side
    560.25x = 163,876.40
  5. Step 5: Solve for x
    x = 163,876.40/560.25
  6. Step 6: Final answer
    x = 292.51

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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.