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Finding the Fourth Proportional to 229.36, 343.95 and 178.06

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Solution

The fourth proportional to 229.36, 343.95 and 178.06 is: 267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.36 : 343.95 = 178.06 : x
  2. Step 2: Convert to fraction form
    229.36/343.95 = 178.06/x
  3. Step 3: Cross multiply
    229.36x = 343.95 × 178.06
  4. Step 4: Simplify right side
    229.36x = 61,243.74
  5. Step 5: Solve for x
    x = 61,243.74/229.36
  6. Step 6: Final answer
    x = 267.02

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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.