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Finding the Fourth Proportional to 261.13, 360.35 and 144.69

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Solution

The fourth proportional to 261.13, 360.35 and 144.69 is: 199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.13 : 360.35 = 144.69 : x
  2. Step 2: Convert to fraction form
    261.13/360.35 = 144.69/x
  3. Step 3: Cross multiply
    261.13x = 360.35 × 144.69
  4. Step 4: Simplify right side
    261.13x = 52,139.04
  5. Step 5: Solve for x
    x = 52,139.04/261.13
  6. Step 6: Final answer
    x = 199.67

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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.