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Finding the Fourth Proportional to 560.27, 840.41 and 149.40

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Solution

The fourth proportional to 560.27, 840.41 and 149.40 is: 224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.27 : 840.41 = 149.40 : x
  2. Step 2: Convert to fraction form
    560.27/840.41 = 149.40/x
  3. Step 3: Cross multiply
    560.27x = 840.41 × 149.40
  4. Step 4: Simplify right side
    560.27x = 125,557.63
  5. Step 5: Solve for x
    x = 125,557.63/560.27
  6. Step 6: Final answer
    x = 224.10

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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.