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Finding the Fourth Proportional to 229.60, 344.14 and 184.03

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Solution

The fourth proportional to 229.60, 344.14 and 184.03 is: 275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.60 : 344.14 = 184.03 : x
  2. Step 2: Convert to fraction form
    229.60/344.14 = 184.03/x
  3. Step 3: Cross multiply
    229.60x = 344.14 × 184.03
  4. Step 4: Simplify right side
    229.60x = 63,332.08
  5. Step 5: Solve for x
    x = 63,332.08/229.60
  6. Step 6: Final answer
    x = 275.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.