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Finding the Fourth Proportional to 265.85, 366.81 and 153.80

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Solution

The fourth proportional to 265.85, 366.81 and 153.80 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.85 : 366.81 = 153.80 : x
  2. Step 2: Convert to fraction form
    265.85/366.81 = 153.80/x
  3. Step 3: Cross multiply
    265.85x = 366.81 × 153.80
  4. Step 4: Simplify right side
    265.85x = 56,415.21
  5. Step 5: Solve for x
    x = 56,415.21/265.85
  6. Step 6: Final answer
    x = 212.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.