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Finding the Fourth Proportional to 229.85, 344.65 and 114.04

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Solution

The fourth proportional to 229.85, 344.65 and 114.04 is: 171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.85 : 344.65 = 114.04 : x
  2. Step 2: Convert to fraction form
    229.85/344.65 = 114.04/x
  3. Step 3: Cross multiply
    229.85x = 344.65 × 114.04
  4. Step 4: Simplify right side
    229.85x = 39,303.89
  5. Step 5: Solve for x
    x = 39,303.89/229.85
  6. Step 6: Final answer
    x = 171.00

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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.