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Finding the Fourth Proportional to 261.30, 360.60 and 143.28

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Solution

The fourth proportional to 261.30, 360.60 and 143.28 is: 197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 360.60 = 143.28 : x
  2. Step 2: Convert to fraction form
    261.30/360.60 = 143.28/x
  3. Step 3: Cross multiply
    261.30x = 360.60 × 143.28
  4. Step 4: Simplify right side
    261.30x = 51,666.77
  5. Step 5: Solve for x
    x = 51,666.77/261.30
  6. Step 6: Final answer
    x = 197.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.