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Finding the Fourth Proportional to 261.56, 360.78 and 178.64

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Solution

The fourth proportional to 261.56, 360.78 and 178.64 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 360.78 = 178.64 : x
  2. Step 2: Convert to fraction form
    261.56/360.78 = 178.64/x
  3. Step 3: Cross multiply
    261.56x = 360.78 × 178.64
  4. Step 4: Simplify right side
    261.56x = 64,449.74
  5. Step 5: Solve for x
    x = 64,449.74/261.56
  6. Step 6: Final answer
    x = 246.41

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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.