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Finding the Fourth Proportional to 261.60, 360.72 and 178.56

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Solution

The fourth proportional to 261.60, 360.72 and 178.56 is: 246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 360.72 = 178.56 : x
  2. Step 2: Convert to fraction form
    261.60/360.72 = 178.56/x
  3. Step 3: Cross multiply
    261.60x = 360.72 × 178.56
  4. Step 4: Simplify right side
    261.60x = 64,410.16
  5. Step 5: Solve for x
    x = 64,410.16/261.60
  6. Step 6: Final answer
    x = 246.22

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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.