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Finding the Fourth Proportional to 265.24, 366.01 and 148.81

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Solution

The fourth proportional to 265.24, 366.01 and 148.81 is: 205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.24 : 366.01 = 148.81 : x
  2. Step 2: Convert to fraction form
    265.24/366.01 = 148.81/x
  3. Step 3: Cross multiply
    265.24x = 366.01 × 148.81
  4. Step 4: Simplify right side
    265.24x = 54,465.95
  5. Step 5: Solve for x
    x = 54,465.95/265.24
  6. Step 6: Final answer
    x = 205.35

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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.