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Finding the Fourth Proportional to 155.50, 231.88 and 144.34

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Solution

The fourth proportional to 155.50, 231.88 and 144.34 is: 215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.50 : 231.88 = 144.34 : x
  2. Step 2: Convert to fraction form
    155.50/231.88 = 144.34/x
  3. Step 3: Cross multiply
    155.50x = 231.88 × 144.34
  4. Step 4: Simplify right side
    155.50x = 33,468.84
  5. Step 5: Solve for x
    x = 33,468.84/155.50
  6. Step 6: Final answer
    x = 215.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.