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Finding the Fourth Proportional to 235.10, 354.02 and 206.52

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Solution

The fourth proportional to 235.10, 354.02 and 206.52 is: 310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 354.02 = 206.52 : x
  2. Step 2: Convert to fraction form
    235.10/354.02 = 206.52/x
  3. Step 3: Cross multiply
    235.10x = 354.02 × 206.52
  4. Step 4: Simplify right side
    235.10x = 73,111.18
  5. Step 5: Solve for x
    x = 73,111.18/235.10
  6. Step 6: Final answer
    x = 310.99

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Why These Related Problems?

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