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Finding the Fourth Proportional to 354.60, 531.81 and 138.18

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Solution

The fourth proportional to 354.60, 531.81 and 138.18 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.60 : 531.81 = 138.18 : x
  2. Step 2: Convert to fraction form
    354.60/531.81 = 138.18/x
  3. Step 3: Cross multiply
    354.60x = 531.81 × 138.18
  4. Step 4: Simplify right side
    354.60x = 73,485.51
  5. Step 5: Solve for x
    x = 73,485.51/354.60
  6. Step 6: Final answer
    x = 207.23

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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.