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Finding the Fourth Proportional to 264.05, 364.31 and 153.49

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Solution

The fourth proportional to 264.05, 364.31 and 153.49 is: 211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.05 : 364.31 = 153.49 : x
  2. Step 2: Convert to fraction form
    264.05/364.31 = 153.49/x
  3. Step 3: Cross multiply
    264.05x = 364.31 × 153.49
  4. Step 4: Simplify right side
    264.05x = 55,916.26
  5. Step 5: Solve for x
    x = 55,916.26/264.05
  6. Step 6: Final answer
    x = 211.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.