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Finding the Fourth Proportional to 560.07, 840.02 and 149.22

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Solution

The fourth proportional to 560.07, 840.02 and 149.22 is: 223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.07 : 840.02 = 149.22 : x
  2. Step 2: Convert to fraction form
    560.07/840.02 = 149.22/x
  3. Step 3: Cross multiply
    560.07x = 840.02 × 149.22
  4. Step 4: Simplify right side
    560.07x = 125,347.04
  5. Step 5: Solve for x
    x = 125,347.04/560.07
  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.