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Finding the Fourth Proportional to 412.34, 618.57 and 138.45

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Solution

The fourth proportional to 412.34, 618.57 and 138.45 is: 207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 618.57 = 138.45 : x
  2. Step 2: Convert to fraction form
    412.34/618.57 = 138.45/x
  3. Step 3: Cross multiply
    412.34x = 618.57 × 138.45
  4. Step 4: Simplify right side
    412.34x = 85,641.02
  5. Step 5: Solve for x
    x = 85,641.02/412.34
  6. Step 6: Final answer
    x = 207.70

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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.