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Finding the Fourth Proportional to 261.30, 360.56 and 144.84

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Solution

The fourth proportional to 261.30, 360.56 and 144.84 is: 199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 360.56 = 144.84 : x
  2. Step 2: Convert to fraction form
    261.30/360.56 = 144.84/x
  3. Step 3: Cross multiply
    261.30x = 360.56 × 144.84
  4. Step 4: Simplify right side
    261.30x = 52,223.51
  5. Step 5: Solve for x
    x = 52,223.51/261.30
  6. Step 6: Final answer
    x = 199.86

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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.