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Finding the Fourth Proportional to 264.74, 365.36 and 148.30

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Solution

The fourth proportional to 264.74, 365.36 and 148.30 is: 204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.74 : 365.36 = 148.30 : x
  2. Step 2: Convert to fraction form
    264.74/365.36 = 148.30/x
  3. Step 3: Cross multiply
    264.74x = 365.36 × 148.30
  4. Step 4: Simplify right side
    264.74x = 54,182.89
  5. Step 5: Solve for x
    x = 54,182.89/264.74
  6. Step 6: Final answer
    x = 204.66

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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.