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Finding the Fourth Proportional to 234.04, 320.87 and 229.95

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Solution

The fourth proportional to 234.04, 320.87 and 229.95 is: 315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.04 : 320.87 = 229.95 : x
  2. Step 2: Convert to fraction form
    234.04/320.87 = 229.95/x
  3. Step 3: Cross multiply
    234.04x = 320.87 × 229.95
  4. Step 4: Simplify right side
    234.04x = 73,784.06
  5. Step 5: Solve for x
    x = 73,784.06/234.04
  6. Step 6: Final answer
    x = 315.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.