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Finding the Fourth Proportional to 342.90, 515.14 and 221.40

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Solution

The fourth proportional to 342.90, 515.14 and 221.40 is: 332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.90 : 515.14 = 221.40 : x
  2. Step 2: Convert to fraction form
    342.90/515.14 = 221.40/x
  3. Step 3: Cross multiply
    342.90x = 515.14 × 221.40
  4. Step 4: Simplify right side
    342.90x = 114,052.00
  5. Step 5: Solve for x
    x = 114,052.00/342.90
  6. Step 6: Final answer
    x = 332.61

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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.