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Finding the Fourth Proportional to 356.52, 534.65 and 194.12

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Solution

The fourth proportional to 356.52, 534.65 and 194.12 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.52 : 534.65 = 194.12 : x
  2. Step 2: Convert to fraction form
    356.52/534.65 = 194.12/x
  3. Step 3: Cross multiply
    356.52x = 534.65 × 194.12
  4. Step 4: Simplify right side
    356.52x = 103,782.61
  5. Step 5: Solve for x
    x = 103,782.61/356.52
  6. Step 6: Final answer
    x = 291.10

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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.