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Finding the Fourth Proportional to 165.03, 247.05 and 135.87

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Solution

The fourth proportional to 165.03, 247.05 and 135.87 is: 203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.03 : 247.05 = 135.87 : x
  2. Step 2: Convert to fraction form
    165.03/247.05 = 135.87/x
  3. Step 3: Cross multiply
    165.03x = 247.05 × 135.87
  4. Step 4: Simplify right side
    165.03x = 33,566.68
  5. Step 5: Solve for x
    x = 33,566.68/165.03
  6. Step 6: Final answer
    x = 203.40

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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.