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Finding the Fourth Proportional to 264.04, 396.16 and 142.32

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Solution

The fourth proportional to 264.04, 396.16 and 142.32 is: 213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.04 : 396.16 = 142.32 : x
  2. Step 2: Convert to fraction form
    264.04/396.16 = 142.32/x
  3. Step 3: Cross multiply
    264.04x = 396.16 × 142.32
  4. Step 4: Simplify right side
    264.04x = 56,381.49
  5. Step 5: Solve for x
    x = 56,381.49/264.04
  6. Step 6: Final answer
    x = 213.53

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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.