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Finding the Fourth Proportional to 232.34, 348.53 and 70.02

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Solution

The fourth proportional to 232.34, 348.53 and 70.02 is: 105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 348.53 = 70.02 : x
  2. Step 2: Convert to fraction form
    232.34/348.53 = 70.02/x
  3. Step 3: Cross multiply
    232.34x = 348.53 × 70.02
  4. Step 4: Simplify right side
    232.34x = 24,403.72
  5. Step 5: Solve for x
    x = 24,403.72/232.34
  6. Step 6: Final answer
    x = 105.04

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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.