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Finding the Fourth Proportional to 153.53, 213.04 and 147.59

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Solution

The fourth proportional to 153.53, 213.04 and 147.59 is: 204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.53 : 213.04 = 147.59 : x
  2. Step 2: Convert to fraction form
    153.53/213.04 = 147.59/x
  3. Step 3: Cross multiply
    153.53x = 213.04 × 147.59
  4. Step 4: Simplify right side
    153.53x = 31,441.14
  5. Step 5: Solve for x
    x = 31,441.14/153.53
  6. Step 6: Final answer
    x = 204.79

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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.