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Finding the Fourth Proportional to 233.10, 348.05 and 207.11

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Solution

The fourth proportional to 233.10, 348.05 and 207.11 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 348.05 = 207.11 : x
  2. Step 2: Convert to fraction form
    233.10/348.05 = 207.11/x
  3. Step 3: Cross multiply
    233.10x = 348.05 × 207.11
  4. Step 4: Simplify right side
    233.10x = 72,086.02
  5. Step 5: Solve for x
    x = 72,086.02/233.10
  6. Step 6: Final answer
    x = 309.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.