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Finding the Fourth Proportional to 228.02, 312.99 and 202.91

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Solution

The fourth proportional to 228.02, 312.99 and 202.91 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.02 : 312.99 = 202.91 : x
  2. Step 2: Convert to fraction form
    228.02/312.99 = 202.91/x
  3. Step 3: Cross multiply
    228.02x = 312.99 × 202.91
  4. Step 4: Simplify right side
    228.02x = 63,508.80
  5. Step 5: Solve for x
    x = 63,508.80/228.02
  6. Step 6: Final answer
    x = 278.52

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