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Finding the Fourth Proportional to 165.55, 250.10 and 165.55

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Solution

The fourth proportional to 165.55, 250.10 and 165.55 is: 250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.55 : 250.10 = 165.55 : x
  2. Step 2: Convert to fraction form
    165.55/250.10 = 165.55/x
  3. Step 3: Cross multiply
    165.55x = 250.10 × 165.55
  4. Step 4: Simplify right side
    165.55x = 41,404.06
  5. Step 5: Solve for x
    x = 41,404.06/165.55
  6. Step 6: Final answer
    x = 250.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.