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Finding the Fourth Proportional to 263.64, 395.45 and 101.36

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Solution

The fourth proportional to 263.64, 395.45 and 101.36 is: 152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 395.45 = 101.36 : x
  2. Step 2: Convert to fraction form
    263.64/395.45 = 101.36/x
  3. Step 3: Cross multiply
    263.64x = 395.45 × 101.36
  4. Step 4: Simplify right side
    263.64x = 40,082.02
  5. Step 5: Solve for x
    x = 40,082.02/263.64
  6. Step 6: Final answer
    x = 152.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.