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Finding the Fourth Proportional to 183.74, 275.45 and 97.02

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Solution

The fourth proportional to 183.74, 275.45 and 97.02 is: 145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 275.45 = 97.02 : x
  2. Step 2: Convert to fraction form
    183.74/275.45 = 97.02/x
  3. Step 3: Cross multiply
    183.74x = 275.45 × 97.02
  4. Step 4: Simplify right side
    183.74x = 26,723.67
  5. Step 5: Solve for x
    x = 26,723.67/183.74
  6. Step 6: Final answer
    x = 145.45

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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.