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Finding the Fourth Proportional to 264.94, 365.55 and 148.48

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Solution

The fourth proportional to 264.94, 365.55 and 148.48 is: 204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.94 : 365.55 = 148.48 : x
  2. Step 2: Convert to fraction form
    264.94/365.55 = 148.48/x
  3. Step 3: Cross multiply
    264.94x = 365.55 × 148.48
  4. Step 4: Simplify right side
    264.94x = 54,276.86
  5. Step 5: Solve for x
    x = 54,276.86/264.94
  6. Step 6: Final answer
    x = 204.86

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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.