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Finding the Fourth Proportional to 261.53, 360.84 and 150.99

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Solution

The fourth proportional to 261.53, 360.84 and 150.99 is: 208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 360.84 = 150.99 : x
  2. Step 2: Convert to fraction form
    261.53/360.84 = 150.99/x
  3. Step 3: Cross multiply
    261.53x = 360.84 × 150.99
  4. Step 4: Simplify right side
    261.53x = 54,484.47
  5. Step 5: Solve for x
    x = 54,484.47/261.53
  6. Step 6: Final answer
    x = 208.33

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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.