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Finding the Fourth Proportional to 264.23, 364.61 and 147.77

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Solution

The fourth proportional to 264.23, 364.61 and 147.77 is: 203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.23 : 364.61 = 147.77 : x
  2. Step 2: Convert to fraction form
    264.23/364.61 = 147.77/x
  3. Step 3: Cross multiply
    264.23x = 364.61 × 147.77
  4. Step 4: Simplify right side
    264.23x = 53,876.97
  5. Step 5: Solve for x
    x = 53,876.97/264.23
  6. Step 6: Final answer
    x = 203.91

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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.