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Finding the Fourth Proportional to 155.68, 233.70 and 140.20

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Solution

The fourth proportional to 155.68, 233.70 and 140.20 is: 210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.68 : 233.70 = 140.20 : x
  2. Step 2: Convert to fraction form
    155.68/233.70 = 140.20/x
  3. Step 3: Cross multiply
    155.68x = 233.70 × 140.20
  4. Step 4: Simplify right side
    155.68x = 32,764.74
  5. Step 5: Solve for x
    x = 32,764.74/155.68
  6. Step 6: Final answer
    x = 210.46

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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.