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Finding the Fourth Proportional to 354.18, 531.05 and 137.50

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Solution

The fourth proportional to 354.18, 531.05 and 137.50 is: 206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.18 : 531.05 = 137.50 : x
  2. Step 2: Convert to fraction form
    354.18/531.05 = 137.50/x
  3. Step 3: Cross multiply
    354.18x = 531.05 × 137.50
  4. Step 4: Simplify right side
    354.18x = 73,018.69
  5. Step 5: Solve for x
    x = 73,018.69/354.18
  6. Step 6: Final answer
    x = 206.17

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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.