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Finding the Fourth Proportional to 229.77, 345.35 and 214.05

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Solution

The fourth proportional to 229.77, 345.35 and 214.05 is: 321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.77 : 345.35 = 214.05 : x
  2. Step 2: Convert to fraction form
    229.77/345.35 = 214.05/x
  3. Step 3: Cross multiply
    229.77x = 345.35 × 214.05
  4. Step 4: Simplify right side
    229.77x = 73,921.10
  5. Step 5: Solve for x
    x = 73,921.10/229.77
  6. Step 6: Final answer
    x = 321.72

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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.