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Finding the Fourth Proportional to 264.08, 394.14 and 238.16

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Solution

The fourth proportional to 264.08, 394.14 and 238.16 is: 355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.08 : 394.14 = 238.16 : x
  2. Step 2: Convert to fraction form
    264.08/394.14 = 238.16/x
  3. Step 3: Cross multiply
    264.08x = 394.14 × 238.16
  4. Step 4: Simplify right side
    264.08x = 93,868.38
  5. Step 5: Solve for x
    x = 93,868.38/264.08
  6. Step 6: Final answer
    x = 355.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.