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Finding the Fourth Proportional to 235.66, 351.95 and 204.58

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Solution

The fourth proportional to 235.66, 351.95 and 204.58 is: 305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.66 : 351.95 = 204.58 : x
  2. Step 2: Convert to fraction form
    235.66/351.95 = 204.58/x
  3. Step 3: Cross multiply
    235.66x = 351.95 × 204.58
  4. Step 4: Simplify right side
    235.66x = 71,999.37
  5. Step 5: Solve for x
    x = 71,999.37/235.66
  6. Step 6: Final answer
    x = 305.52

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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.