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Finding the Fourth Proportional to 243.08, 334.78 and 210.32

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Solution

The fourth proportional to 243.08, 334.78 and 210.32 is: 289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.08 : 334.78 = 210.32 : x
  2. Step 2: Convert to fraction form
    243.08/334.78 = 210.32/x
  3. Step 3: Cross multiply
    243.08x = 334.78 × 210.32
  4. Step 4: Simplify right side
    243.08x = 70,410.93
  5. Step 5: Solve for x
    x = 70,410.93/243.08
  6. Step 6: Final answer
    x = 289.66

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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.