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Finding the Fourth Proportional to 232.16, 347.93 and 207.63

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Solution

The fourth proportional to 232.16, 347.93 and 207.63 is: 311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.16 : 347.93 = 207.63 : x
  2. Step 2: Convert to fraction form
    232.16/347.93 = 207.63/x
  3. Step 3: Cross multiply
    232.16x = 347.93 × 207.63
  4. Step 4: Simplify right side
    232.16x = 72,240.71
  5. Step 5: Solve for x
    x = 72,240.71/232.16
  6. Step 6: Final answer
    x = 311.17

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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.