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Finding the Fourth Proportional to 261.12, 360.48 and 178.38

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Solution

The fourth proportional to 261.12, 360.48 and 178.38 is: 246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.12 : 360.48 = 178.38 : x
  2. Step 2: Convert to fraction form
    261.12/360.48 = 178.38/x
  3. Step 3: Cross multiply
    261.12x = 360.48 × 178.38
  4. Step 4: Simplify right side
    261.12x = 64,302.42
  5. Step 5: Solve for x
    x = 64,302.42/261.12
  6. Step 6: Final answer
    x = 246.26

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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.