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Finding the Fourth Proportional to 356.40, 534.80 and 194.06

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Solution

The fourth proportional to 356.40, 534.80 and 194.06 is: 291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 534.80 = 194.06 : x
  2. Step 2: Convert to fraction form
    356.40/534.80 = 194.06/x
  3. Step 3: Cross multiply
    356.40x = 534.80 × 194.06
  4. Step 4: Simplify right side
    356.40x = 103,785.11
  5. Step 5: Solve for x
    x = 103,785.11/356.40
  6. Step 6: Final answer
    x = 291.20

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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.