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Finding the Fourth Proportional to 356.37, 534.86 and 194.16

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Solution

The fourth proportional to 356.37, 534.86 and 194.16 is: 291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.37 : 534.86 = 194.16 : x
  2. Step 2: Convert to fraction form
    356.37/534.86 = 194.16/x
  3. Step 3: Cross multiply
    356.37x = 534.86 × 194.16
  4. Step 4: Simplify right side
    356.37x = 103,847.45
  5. Step 5: Solve for x
    x = 103,847.45/356.37
  6. Step 6: Final answer
    x = 291.40

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Why These Related Problems?

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