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Finding the Fourth Proportional to 233.96, 350.99 and 141.58

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Solution

The fourth proportional to 233.96, 350.99 and 141.58 is: 212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.96 : 350.99 = 141.58 : x
  2. Step 2: Convert to fraction form
    233.96/350.99 = 141.58/x
  3. Step 3: Cross multiply
    233.96x = 350.99 × 141.58
  4. Step 4: Simplify right side
    233.96x = 49,693.16
  5. Step 5: Solve for x
    x = 49,693.16/233.96
  6. Step 6: Final answer
    x = 212.40

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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.