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Finding the Fourth Proportional to 243.66, 335.12 and 210.98

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Solution

The fourth proportional to 243.66, 335.12 and 210.98 is: 290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.66 : 335.12 = 210.98 : x
  2. Step 2: Convert to fraction form
    243.66/335.12 = 210.98/x
  3. Step 3: Cross multiply
    243.66x = 335.12 × 210.98
  4. Step 4: Simplify right side
    243.66x = 70,703.62
  5. Step 5: Solve for x
    x = 70,703.62/243.66
  6. Step 6: Final answer
    x = 290.17

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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.