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Finding the Fourth Proportional to 265.06, 364.98 and 191.23

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Solution

The fourth proportional to 265.06, 364.98 and 191.23 is: 263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.06 : 364.98 = 191.23 : x
  2. Step 2: Convert to fraction form
    265.06/364.98 = 191.23/x
  3. Step 3: Cross multiply
    265.06x = 364.98 × 191.23
  4. Step 4: Simplify right side
    265.06x = 69,795.13
  5. Step 5: Solve for x
    x = 69,795.13/265.06
  6. Step 6: Final answer
    x = 263.32

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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.