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Finding the Fourth Proportional to 183.61, 275.40 and 61.84

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Solution

The fourth proportional to 183.61, 275.40 and 61.84 is: 92.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.61 : 275.40 = 61.84 : x
  2. Step 2: Convert to fraction form
    183.61/275.40 = 61.84/x
  3. Step 3: Cross multiply
    183.61x = 275.40 × 61.84
  4. Step 4: Simplify right side
    183.61x = 17,030.74
  5. Step 5: Solve for x
    x = 17,030.74/183.61
  6. Step 6: Final answer
    x = 92.75

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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.