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Finding the Fourth Proportional to 264.12, 395.96 and 101.93

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Solution

The fourth proportional to 264.12, 395.96 and 101.93 is: 152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.12 : 395.96 = 101.93 : x
  2. Step 2: Convert to fraction form
    264.12/395.96 = 101.93/x
  3. Step 3: Cross multiply
    264.12x = 395.96 × 101.93
  4. Step 4: Simplify right side
    264.12x = 40,357.71
  5. Step 5: Solve for x
    x = 40,357.71/264.12
  6. Step 6: Final answer
    x = 152.80

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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.