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Finding the Fourth Proportional to 261.53, 360.95 and 149.52

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Solution

The fourth proportional to 261.53, 360.95 and 149.52 is: 206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 360.95 = 149.52 : x
  2. Step 2: Convert to fraction form
    261.53/360.95 = 149.52/x
  3. Step 3: Cross multiply
    261.53x = 360.95 × 149.52
  4. Step 4: Simplify right side
    261.53x = 53,968.50
  5. Step 5: Solve for x
    x = 53,968.50/261.53
  6. Step 6: Final answer
    x = 206.36

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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.