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Finding the Fourth Proportional to 264.29, 396.64 and 102.02

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Solution

The fourth proportional to 264.29, 396.64 and 102.02 is: 153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.29 : 396.64 = 102.02 : x
  2. Step 2: Convert to fraction form
    264.29/396.64 = 102.02/x
  3. Step 3: Cross multiply
    264.29x = 396.64 × 102.02
  4. Step 4: Simplify right side
    264.29x = 40,465.21
  5. Step 5: Solve for x
    x = 40,465.21/264.29
  6. Step 6: Final answer
    x = 153.11

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