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Finding the Fourth Proportional to 174.16, 262.40 and 145.84

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Solution

The fourth proportional to 174.16, 262.40 and 145.84 is: 219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.16 : 262.40 = 145.84 : x
  2. Step 2: Convert to fraction form
    174.16/262.40 = 145.84/x
  3. Step 3: Cross multiply
    174.16x = 262.40 × 145.84
  4. Step 4: Simplify right side
    174.16x = 38,268.42
  5. Step 5: Solve for x
    x = 38,268.42/174.16
  6. Step 6: Final answer
    x = 219.73

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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.