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Finding the Fourth Proportional to 261.50, 360.54 and 209.22

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Solution

The fourth proportional to 261.50, 360.54 and 209.22 is: 288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.50 : 360.54 = 209.22 : x
  2. Step 2: Convert to fraction form
    261.50/360.54 = 209.22/x
  3. Step 3: Cross multiply
    261.50x = 360.54 × 209.22
  4. Step 4: Simplify right side
    261.50x = 75,432.18
  5. Step 5: Solve for x
    x = 75,432.18/261.50
  6. Step 6: Final answer
    x = 288.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.