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Finding the Fourth Proportional to 261, 360.18 and 144.56

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Solution

The fourth proportional to 261, 360.18 and 144.56 is: 199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261 : 360.18 = 144.56 : x
  2. Step 2: Convert to fraction form
    261/360.18 = 144.56/x
  3. Step 3: Cross multiply
    261x = 360.18 × 144.56
  4. Step 4: Simplify right side
    261x = 52,068.52
  5. Step 5: Solve for x
    x = 52,068.52/261
  6. Step 6: Final answer
    x = 199.50

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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.