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Finding the Fourth Proportional to 264.51, 397.17 and 228.87

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Solution

The fourth proportional to 264.51, 397.17 and 228.87 is: 343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.51 : 397.17 = 228.87 : x
  2. Step 2: Convert to fraction form
    264.51/397.17 = 228.87/x
  3. Step 3: Cross multiply
    264.51x = 397.17 × 228.87
  4. Step 4: Simplify right side
    264.51x = 90,900.30
  5. Step 5: Solve for x
    x = 90,900.30/264.51
  6. Step 6: Final answer
    x = 343.66

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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.