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Finding the Fourth Proportional to 151.48, 208.88 and 102.28

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Solution

The fourth proportional to 151.48, 208.88 and 102.28 is: 141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.48 : 208.88 = 102.28 : x
  2. Step 2: Convert to fraction form
    151.48/208.88 = 102.28/x
  3. Step 3: Cross multiply
    151.48x = 208.88 × 102.28
  4. Step 4: Simplify right side
    151.48x = 21,364.25
  5. Step 5: Solve for x
    x = 21,364.25/151.48
  6. Step 6: Final answer
    x = 141.04

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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.