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Finding the Fourth Proportional to 264.10, 364.46 and 147.66

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Solution

The fourth proportional to 264.10, 364.46 and 147.66 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.10 : 364.46 = 147.66 : x
  2. Step 2: Convert to fraction form
    264.10/364.46 = 147.66/x
  3. Step 3: Cross multiply
    264.10x = 364.46 × 147.66
  4. Step 4: Simplify right side
    264.10x = 53,815.43
  5. Step 5: Solve for x
    x = 53,815.43/264.10
  6. Step 6: Final answer
    x = 203.77

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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.