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Finding the Fourth Proportional to 151.50, 208.83 and 102.29

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Solution

The fourth proportional to 151.50, 208.83 and 102.29 is: 141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.50 : 208.83 = 102.29 : x
  2. Step 2: Convert to fraction form
    151.50/208.83 = 102.29/x
  3. Step 3: Cross multiply
    151.50x = 208.83 × 102.29
  4. Step 4: Simplify right side
    151.50x = 21,360.57
  5. Step 5: Solve for x
    x = 21,360.57/151.50
  6. Step 6: Final answer
    x = 141.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.