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Finding the Fourth Proportional to 264.60, 397.02 and 142.72

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Solution

The fourth proportional to 264.60, 397.02 and 142.72 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.60 : 397.02 = 142.72 : x
  2. Step 2: Convert to fraction form
    264.60/397.02 = 142.72/x
  3. Step 3: Cross multiply
    264.60x = 397.02 × 142.72
  4. Step 4: Simplify right side
    264.60x = 56,663.33
  5. Step 5: Solve for x
    x = 56,663.33/264.60
  6. Step 6: Final answer
    x = 214.15

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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.