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Finding the Fourth Proportional to 183.46, 253.15 and 109.76

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Solution

The fourth proportional to 183.46, 253.15 and 109.76 is: 151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.46 : 253.15 = 109.76 : x
  2. Step 2: Convert to fraction form
    183.46/253.15 = 109.76/x
  3. Step 3: Cross multiply
    183.46x = 253.15 × 109.76
  4. Step 4: Simplify right side
    183.46x = 27,785.74
  5. Step 5: Solve for x
    x = 27,785.74/183.46
  6. Step 6: Final answer
    x = 151.45

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