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Finding the Fourth Proportional to 233.10, 348.34 and 200.58

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Solution

The fourth proportional to 233.10, 348.34 and 200.58 is: 299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 348.34 = 200.58 : x
  2. Step 2: Convert to fraction form
    233.10/348.34 = 200.58/x
  3. Step 3: Cross multiply
    233.10x = 348.34 × 200.58
  4. Step 4: Simplify right side
    233.10x = 69,870.04
  5. Step 5: Solve for x
    x = 69,870.04/233.10
  6. Step 6: Final answer
    x = 299.74

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Why These Related Problems?

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