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Finding the Fourth Proportional to 152.79, 211.84 and 144.60

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Solution

The fourth proportional to 152.79, 211.84 and 144.60 is: 200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.79 : 211.84 = 144.60 : x
  2. Step 2: Convert to fraction form
    152.79/211.84 = 144.60/x
  3. Step 3: Cross multiply
    152.79x = 211.84 × 144.60
  4. Step 4: Simplify right side
    152.79x = 30,632.06
  5. Step 5: Solve for x
    x = 30,632.06/152.79
  6. Step 6: Final answer
    x = 200.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.