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Finding the Fourth Proportional to 360.48, 540.78 and 178.09

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Solution

The fourth proportional to 360.48, 540.78 and 178.09 is: 267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.48 : 540.78 = 178.09 : x
  2. Step 2: Convert to fraction form
    360.48/540.78 = 178.09/x
  3. Step 3: Cross multiply
    360.48x = 540.78 × 178.09
  4. Step 4: Simplify right side
    360.48x = 96,307.51
  5. Step 5: Solve for x
    x = 96,307.51/360.48
  6. Step 6: Final answer
    x = 267.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.