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Finding the Fourth Proportional to 265.34, 366.18 and 199.46

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Solution

The fourth proportional to 265.34, 366.18 and 199.46 is: 275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.34 : 366.18 = 199.46 : x
  2. Step 2: Convert to fraction form
    265.34/366.18 = 199.46/x
  3. Step 3: Cross multiply
    265.34x = 366.18 × 199.46
  4. Step 4: Simplify right side
    265.34x = 73,038.26
  5. Step 5: Solve for x
    x = 73,038.26/265.34
  6. Step 6: Final answer
    x = 275.26

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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.