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Finding the Fourth Proportional to 263.79, 395.63 and 101.46

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Solution

The fourth proportional to 263.79, 395.63 and 101.46 is: 152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.79 : 395.63 = 101.46 : x
  2. Step 2: Convert to fraction form
    263.79/395.63 = 101.46/x
  3. Step 3: Cross multiply
    263.79x = 395.63 × 101.46
  4. Step 4: Simplify right side
    263.79x = 40,140.11
  5. Step 5: Solve for x
    x = 40,140.11/263.79
  6. Step 6: Final answer
    x = 152.17

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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.