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Finding the Fourth Proportional to 151.70, 208.09 and 147.34

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Solution

The fourth proportional to 151.70, 208.09 and 147.34 is: 202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.70 : 208.09 = 147.34 : x
  2. Step 2: Convert to fraction form
    151.70/208.09 = 147.34/x
  3. Step 3: Cross multiply
    151.70x = 208.09 × 147.34
  4. Step 4: Simplify right side
    151.70x = 30,659.18
  5. Step 5: Solve for x
    x = 30,659.18/151.70
  6. Step 6: Final answer
    x = 202.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.