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Finding the Fourth Proportional to 201.76, 302.48 and 90.59

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Solution

The fourth proportional to 201.76, 302.48 and 90.59 is: 135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.76 : 302.48 = 90.59 : x
  2. Step 2: Convert to fraction form
    201.76/302.48 = 90.59/x
  3. Step 3: Cross multiply
    201.76x = 302.48 × 90.59
  4. Step 4: Simplify right side
    201.76x = 27,399.70
  5. Step 5: Solve for x
    x = 27,399.70/201.76
  6. Step 6: Final answer
    x = 135.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.