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Finding the Fourth Proportional to 236.76, 355.32 and 202.74

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Solution

The fourth proportional to 236.76, 355.32 and 202.74 is: 304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.76 : 355.32 = 202.74 : x
  2. Step 2: Convert to fraction form
    236.76/355.32 = 202.74/x
  3. Step 3: Cross multiply
    236.76x = 355.32 × 202.74
  4. Step 4: Simplify right side
    236.76x = 72,037.58
  5. Step 5: Solve for x
    x = 72,037.58/236.76
  6. Step 6: Final answer
    x = 304.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.