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Finding the Fourth Proportional to 264.57, 397.02 and 142.92

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Solution

The fourth proportional to 264.57, 397.02 and 142.92 is: 214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.57 : 397.02 = 142.92 : x
  2. Step 2: Convert to fraction form
    264.57/397.02 = 142.92/x
  3. Step 3: Cross multiply
    264.57x = 397.02 × 142.92
  4. Step 4: Simplify right side
    264.57x = 56,742.10
  5. Step 5: Solve for x
    x = 56,742.10/264.57
  6. Step 6: Final answer
    x = 214.47

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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.