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Finding the Fourth Proportional to 264.90, 365.57 and 148.47

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Solution

The fourth proportional to 264.90, 365.57 and 148.47 is: 204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.90 : 365.57 = 148.47 : x
  2. Step 2: Convert to fraction form
    264.90/365.57 = 148.47/x
  3. Step 3: Cross multiply
    264.90x = 365.57 × 148.47
  4. Step 4: Simplify right side
    264.90x = 54,274.62
  5. Step 5: Solve for x
    x = 54,274.62/264.90
  6. Step 6: Final answer
    x = 204.88

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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.