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Finding the Fourth Proportional to 243.07, 366.06 and 213

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Solution

The fourth proportional to 243.07, 366.06 and 213 is: 320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.07 : 366.06 = 213 : x
  2. Step 2: Convert to fraction form
    243.07/366.06 = 213/x
  3. Step 3: Cross multiply
    243.07x = 366.06 × 213
  4. Step 4: Simplify right side
    243.07x = 77,970.25
  5. Step 5: Solve for x
    x = 77,970.25/243.07
  6. Step 6: Final answer
    x = 320.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.