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Finding the Fourth Proportional to 383.78, 575.18 and 178.32

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Solution

The fourth proportional to 383.78, 575.18 and 178.32 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.78 : 575.18 = 178.32 : x
  2. Step 2: Convert to fraction form
    383.78/575.18 = 178.32/x
  3. Step 3: Cross multiply
    383.78x = 575.18 × 178.32
  4. Step 4: Simplify right side
    383.78x = 102,566.10
  5. Step 5: Solve for x
    x = 102,566.10/383.78
  6. Step 6: Final answer
    x = 267.25

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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.