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Finding the Fourth Proportional to 183.76, 253.72 and 147.12

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Solution

The fourth proportional to 183.76, 253.72 and 147.12 is: 203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.76 : 253.72 = 147.12 : x
  2. Step 2: Convert to fraction form
    183.76/253.72 = 147.12/x
  3. Step 3: Cross multiply
    183.76x = 253.72 × 147.12
  4. Step 4: Simplify right side
    183.76x = 37,327.29
  5. Step 5: Solve for x
    x = 37,327.29/183.76
  6. Step 6: Final answer
    x = 203.13

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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.