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Finding the Fourth Proportional to 235.02, 322.86 and 193.44

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Solution

The fourth proportional to 235.02, 322.86 and 193.44 is: 265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.02 : 322.86 = 193.44 : x
  2. Step 2: Convert to fraction form
    235.02/322.86 = 193.44/x
  3. Step 3: Cross multiply
    235.02x = 322.86 × 193.44
  4. Step 4: Simplify right side
    235.02x = 62,454.04
  5. Step 5: Solve for x
    x = 62,454.04/235.02
  6. Step 6: Final answer
    x = 265.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.