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Finding the Fourth Proportional to 264.71, 365.29 and 148.27

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Solution

The fourth proportional to 264.71, 365.29 and 148.27 is: 204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.71 : 365.29 = 148.27 : x
  2. Step 2: Convert to fraction form
    264.71/365.29 = 148.27/x
  3. Step 3: Cross multiply
    264.71x = 365.29 × 148.27
  4. Step 4: Simplify right side
    264.71x = 54,159.72
  5. Step 5: Solve for x
    x = 54,159.72/264.71
  6. Step 6: Final answer
    x = 204.60

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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.