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Finding the Fourth Proportional to 270, 403.26 and 228.96

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Solution

The fourth proportional to 270, 403.26 and 228.96 is: 341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 403.26 = 228.96 : x
  2. Step 2: Convert to fraction form
    270/403.26 = 228.96/x
  3. Step 3: Cross multiply
    270x = 403.26 × 228.96
  4. Step 4: Simplify right side
    270x = 92,330.41
  5. Step 5: Solve for x
    x = 92,330.41/270
  6. Step 6: Final answer
    x = 341.96

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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.