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Finding the Fourth Proportional to 229.12, 316.08 and 155.32

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Solution

The fourth proportional to 229.12, 316.08 and 155.32 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.12 : 316.08 = 155.32 : x
  2. Step 2: Convert to fraction form
    229.12/316.08 = 155.32/x
  3. Step 3: Cross multiply
    229.12x = 316.08 × 155.32
  4. Step 4: Simplify right side
    229.12x = 49,093.55
  5. Step 5: Solve for x
    x = 49,093.55/229.12
  6. Step 6: Final answer
    x = 214.27

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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.