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Finding the Fourth Proportional to 262.95, 394.57 and 100.64

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Solution

The fourth proportional to 262.95, 394.57 and 100.64 is: 151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.95 : 394.57 = 100.64 : x
  2. Step 2: Convert to fraction form
    262.95/394.57 = 100.64/x
  3. Step 3: Cross multiply
    262.95x = 394.57 × 100.64
  4. Step 4: Simplify right side
    262.95x = 39,710.64
  5. Step 5: Solve for x
    x = 39,710.64/262.95
  6. Step 6: Final answer
    x = 151.02

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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.