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Finding the Fourth Proportional to 165.35, 247.30 and 147.20

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Solution

The fourth proportional to 165.35, 247.30 and 147.20 is: 220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.35 : 247.30 = 147.20 : x
  2. Step 2: Convert to fraction form
    165.35/247.30 = 147.20/x
  3. Step 3: Cross multiply
    165.35x = 247.30 × 147.20
  4. Step 4: Simplify right side
    165.35x = 36,402.19
  5. Step 5: Solve for x
    x = 36,402.19/165.35
  6. Step 6: Final answer
    x = 220.15

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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.