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Finding the Fourth Proportional to 183.40, 253.08 and 109.78

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Solution

The fourth proportional to 183.40, 253.08 and 109.78 is: 151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.40 : 253.08 = 109.78 : x
  2. Step 2: Convert to fraction form
    183.40/253.08 = 109.78/x
  3. Step 3: Cross multiply
    183.40x = 253.08 × 109.78
  4. Step 4: Simplify right side
    183.40x = 27,783.12
  5. Step 5: Solve for x
    x = 27,783.12/183.40
  6. Step 6: Final answer
    x = 151.49

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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.