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Finding the Fourth Proportional to 165.32, 247.64 and 78.53

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Solution

The fourth proportional to 165.32, 247.64 and 78.53 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.32 : 247.64 = 78.53 : x
  2. Step 2: Convert to fraction form
    165.32/247.64 = 78.53/x
  3. Step 3: Cross multiply
    165.32x = 247.64 × 78.53
  4. Step 4: Simplify right side
    165.32x = 19,445.54
  5. Step 5: Solve for x
    x = 19,445.54/165.32
  6. Step 6: Final answer
    x = 117.63

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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.