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Finding the Fourth Proportional to 264.52, 365.02 and 146.49

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Solution

The fourth proportional to 264.52, 365.02 and 146.49 is: 202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.52 : 365.02 = 146.49 : x
  2. Step 2: Convert to fraction form
    264.52/365.02 = 146.49/x
  3. Step 3: Cross multiply
    264.52x = 365.02 × 146.49
  4. Step 4: Simplify right side
    264.52x = 53,473.95
  5. Step 5: Solve for x
    x = 53,473.95/264.52
  6. Step 6: Final answer
    x = 202.16

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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.