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Finding the Fourth Proportional to 174.51, 261.50 and 110.25

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Solution

The fourth proportional to 174.51, 261.50 and 110.25 is: 165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.51 : 261.50 = 110.25 : x
  2. Step 2: Convert to fraction form
    174.51/261.50 = 110.25/x
  3. Step 3: Cross multiply
    174.51x = 261.50 × 110.25
  4. Step 4: Simplify right side
    174.51x = 28,829.82
  5. Step 5: Solve for x
    x = 28,829.82/174.51
  6. Step 6: Final answer
    x = 165.20

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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.