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Finding the Fourth Proportional to 264.53, 365.06 and 148.10

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Solution

The fourth proportional to 264.53, 365.06 and 148.10 is: 204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.53 : 365.06 = 148.10 : x
  2. Step 2: Convert to fraction form
    264.53/365.06 = 148.10/x
  3. Step 3: Cross multiply
    264.53x = 365.06 × 148.10
  4. Step 4: Simplify right side
    264.53x = 54,063.56
  5. Step 5: Solve for x
    x = 54,063.56/264.53
  6. Step 6: Final answer
    x = 204.38

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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.