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Finding the Fourth Proportional to 560.06, 840.10 and 195.26

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Solution

The fourth proportional to 560.06, 840.10 and 195.26 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.06 : 840.10 = 195.26 : x
  2. Step 2: Convert to fraction form
    560.06/840.10 = 195.26/x
  3. Step 3: Cross multiply
    560.06x = 840.10 × 195.26
  4. Step 4: Simplify right side
    560.06x = 164,037.93
  5. Step 5: Solve for x
    x = 164,037.93/560.06
  6. Step 6: Final answer
    x = 292.89

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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.