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Finding the Fourth Proportional to 560.09, 840.12 and 149.21

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Solution

The fourth proportional to 560.09, 840.12 and 149.21 is: 223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.09 : 840.12 = 149.21 : x
  2. Step 2: Convert to fraction form
    560.09/840.12 = 149.21/x
  3. Step 3: Cross multiply
    560.09x = 840.12 × 149.21
  4. Step 4: Simplify right side
    560.09x = 125,354.31
  5. Step 5: Solve for x
    x = 125,354.31/560.09
  6. Step 6: Final answer
    x = 223.81

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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.