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Finding the Fourth Proportional to 264.13, 396.19 and 142.93

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Solution

The fourth proportional to 264.13, 396.19 and 142.93 is: 214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.13 : 396.19 = 142.93 : x
  2. Step 2: Convert to fraction form
    264.13/396.19 = 142.93/x
  3. Step 3: Cross multiply
    264.13x = 396.19 × 142.93
  4. Step 4: Simplify right side
    264.13x = 56,628.11
  5. Step 5: Solve for x
    x = 56,628.11/264.13
  6. Step 6: Final answer
    x = 214.40

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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.