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Finding the Fourth Proportional to 264.86, 365.48 and 146.82

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Solution

The fourth proportional to 264.86, 365.48 and 146.82 is: 202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.86 : 365.48 = 146.82 : x
  2. Step 2: Convert to fraction form
    264.86/365.48 = 146.82/x
  3. Step 3: Cross multiply
    264.86x = 365.48 × 146.82
  4. Step 4: Simplify right side
    264.86x = 53,659.04
  5. Step 5: Solve for x
    x = 53,659.04/264.86
  6. Step 6: Final answer
    x = 202.60

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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.