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Finding the Fourth Proportional to 264.54, 364.71 and 217.10

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Solution

The fourth proportional to 264.54, 364.71 and 217.10 is: 299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.54 : 364.71 = 217.10 : x
  2. Step 2: Convert to fraction form
    264.54/364.71 = 217.10/x
  3. Step 3: Cross multiply
    264.54x = 364.71 × 217.10
  4. Step 4: Simplify right side
    264.54x = 79,178.54
  5. Step 5: Solve for x
    x = 79,178.54/264.54
  6. Step 6: Final answer
    x = 299.31

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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.