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Finding the Fourth Proportional to 264.02, 396.18 and 101.84

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Solution

The fourth proportional to 264.02, 396.18 and 101.84 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.02 : 396.18 = 101.84 : x
  2. Step 2: Convert to fraction form
    264.02/396.18 = 101.84/x
  3. Step 3: Cross multiply
    264.02x = 396.18 × 101.84
  4. Step 4: Simplify right side
    264.02x = 40,346.97
  5. Step 5: Solve for x
    x = 40,346.97/264.02
  6. Step 6: Final answer
    x = 152.82

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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.