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Finding the Fourth Proportional to 265.36, 398.65 and 188.51

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Solution

The fourth proportional to 265.36, 398.65 and 188.51 is: 283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.36 : 398.65 = 188.51 : x
  2. Step 2: Convert to fraction form
    265.36/398.65 = 188.51/x
  3. Step 3: Cross multiply
    265.36x = 398.65 × 188.51
  4. Step 4: Simplify right side
    265.36x = 75,149.51
  5. Step 5: Solve for x
    x = 75,149.51/265.36
  6. Step 6: Final answer
    x = 283.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.