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Finding the Fourth Proportional to 243.64, 335.28 and 210.70

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Solution

The fourth proportional to 243.64, 335.28 and 210.70 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.64 : 335.28 = 210.70 : x
  2. Step 2: Convert to fraction form
    243.64/335.28 = 210.70/x
  3. Step 3: Cross multiply
    243.64x = 335.28 × 210.70
  4. Step 4: Simplify right side
    243.64x = 70,643.50
  5. Step 5: Solve for x
    x = 70,643.50/243.64
  6. Step 6: Final answer
    x = 289.95

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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.