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Finding the Fourth Proportional to 356.10, 534.70 and 194.10

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Solution

The fourth proportional to 356.10, 534.70 and 194.10 is: 291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.10 : 534.70 = 194.10 : x
  2. Step 2: Convert to fraction form
    356.10/534.70 = 194.10/x
  3. Step 3: Cross multiply
    356.10x = 534.70 × 194.10
  4. Step 4: Simplify right side
    356.10x = 103,785.27
  5. Step 5: Solve for x
    x = 103,785.27/356.10
  6. Step 6: Final answer
    x = 291.45

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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.