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Finding the Fourth Proportional to 265.14, 397.41 and 128.15

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Solution

The fourth proportional to 265.14, 397.41 and 128.15 is: 192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.14 : 397.41 = 128.15 : x
  2. Step 2: Convert to fraction form
    265.14/397.41 = 128.15/x
  3. Step 3: Cross multiply
    265.14x = 397.41 × 128.15
  4. Step 4: Simplify right side
    265.14x = 50,927.11
  5. Step 5: Solve for x
    x = 50,927.11/265.14
  6. Step 6: Final answer
    x = 192.08

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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.