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Finding the Fourth Proportional to 243.32, 364.74 and 210.74

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Solution

The fourth proportional to 243.32, 364.74 and 210.74 is: 315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.32 : 364.74 = 210.74 : x
  2. Step 2: Convert to fraction form
    243.32/364.74 = 210.74/x
  3. Step 3: Cross multiply
    243.32x = 364.74 × 210.74
  4. Step 4: Simplify right side
    243.32x = 76,865.12
  5. Step 5: Solve for x
    x = 76,865.12/243.32
  6. Step 6: Final answer
    x = 315.91

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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.