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Finding the Fourth Proportional to 265.15, 397.72 and 72.77

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Solution

The fourth proportional to 265.15, 397.72 and 72.77 is: 109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.15 : 397.72 = 72.77 : x
  2. Step 2: Convert to fraction form
    265.15/397.72 = 72.77/x
  3. Step 3: Cross multiply
    265.15x = 397.72 × 72.77
  4. Step 4: Simplify right side
    265.15x = 28,943.64
  5. Step 5: Solve for x
    x = 28,943.64/265.15
  6. Step 6: Final answer
    x = 109.16

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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.