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Finding the Fourth Proportional to 265.24, 366.03 and 145.60

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Solution

The fourth proportional to 265.24, 366.03 and 145.60 is: 200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.24 : 366.03 = 145.60 : x
  2. Step 2: Convert to fraction form
    265.24/366.03 = 145.60/x
  3. Step 3: Cross multiply
    265.24x = 366.03 × 145.60
  4. Step 4: Simplify right side
    265.24x = 53,295.23
  5. Step 5: Solve for x
    x = 53,295.23/265.24
  6. Step 6: Final answer
    x = 200.93

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Why These Related Problems?

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