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Finding the Fourth Proportional to 269.66, 403.40 and 228.62

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Solution

The fourth proportional to 269.66, 403.40 and 228.62 is: 342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.66 : 403.40 = 228.62 : x
  2. Step 2: Convert to fraction form
    269.66/403.40 = 228.62/x
  3. Step 3: Cross multiply
    269.66x = 403.40 × 228.62
  4. Step 4: Simplify right side
    269.66x = 92,225.31
  5. Step 5: Solve for x
    x = 92,225.31/269.66
  6. Step 6: Final answer
    x = 342.01

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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.