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Finding the Fourth Proportional to 229.03, 341.67 and 188.32

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Solution

The fourth proportional to 229.03, 341.67 and 188.32 is: 280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.03 : 341.67 = 188.32 : x
  2. Step 2: Convert to fraction form
    229.03/341.67 = 188.32/x
  3. Step 3: Cross multiply
    229.03x = 341.67 × 188.32
  4. Step 4: Simplify right side
    229.03x = 64,343.29
  5. Step 5: Solve for x
    x = 64,343.29/229.03
  6. Step 6: Final answer
    x = 280.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.