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Finding the Fourth Proportional to 183.62, 253.29 and 114.50

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Solution

The fourth proportional to 183.62, 253.29 and 114.50 is: 157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.62 : 253.29 = 114.50 : x
  2. Step 2: Convert to fraction form
    183.62/253.29 = 114.50/x
  3. Step 3: Cross multiply
    183.62x = 253.29 × 114.50
  4. Step 4: Simplify right side
    183.62x = 29,001.71
  5. Step 5: Solve for x
    x = 29,001.71/183.62
  6. Step 6: Final answer
    x = 157.94

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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.