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Finding the Fourth Proportional to 150.78, 208.14 and 92.58

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Solution

The fourth proportional to 150.78, 208.14 and 92.58 is: 127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 208.14 = 92.58 : x
  2. Step 2: Convert to fraction form
    150.78/208.14 = 92.58/x
  3. Step 3: Cross multiply
    150.78x = 208.14 × 92.58
  4. Step 4: Simplify right side
    150.78x = 19,269.60
  5. Step 5: Solve for x
    x = 19,269.60/150.78
  6. Step 6: Final answer
    x = 127.80

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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.