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Finding the Fourth Proportional to 234.34, 350.70 and 143.08

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Solution

The fourth proportional to 234.34, 350.70 and 143.08 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.34 : 350.70 = 143.08 : x
  2. Step 2: Convert to fraction form
    234.34/350.70 = 143.08/x
  3. Step 3: Cross multiply
    234.34x = 350.70 × 143.08
  4. Step 4: Simplify right side
    234.34x = 50,178.16
  5. Step 5: Solve for x
    x = 50,178.16/234.34
  6. Step 6: Final answer
    x = 214.13

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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.