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Finding the Fourth Proportional to 165.42, 248.33 and 97.00

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Solution

The fourth proportional to 165.42, 248.33 and 97.00 is: 145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 248.33 = 97.00 : x
  2. Step 2: Convert to fraction form
    165.42/248.33 = 97.00/x
  3. Step 3: Cross multiply
    165.42x = 248.33 × 97.00
  4. Step 4: Simplify right side
    165.42x = 24,086.28
  5. Step 5: Solve for x
    x = 24,086.28/165.42
  6. Step 6: Final answer
    x = 145.60

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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.