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Finding the Fourth Proportional to 183.52, 253.12 and 109.84

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Solution

The fourth proportional to 183.52, 253.12 and 109.84 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.52 : 253.12 = 109.84 : x
  2. Step 2: Convert to fraction form
    183.52/253.12 = 109.84/x
  3. Step 3: Cross multiply
    183.52x = 253.12 × 109.84
  4. Step 4: Simplify right side
    183.52x = 27,802.70
  5. Step 5: Solve for x
    x = 27,802.70/183.52
  6. Step 6: Final answer
    x = 151.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.