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Finding the Fourth Proportional to 356.42, 534.64 and 194.06

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Solution

The fourth proportional to 356.42, 534.64 and 194.06 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.42 : 534.64 = 194.06 : x
  2. Step 2: Convert to fraction form
    356.42/534.64 = 194.06/x
  3. Step 3: Cross multiply
    356.42x = 534.64 × 194.06
  4. Step 4: Simplify right side
    356.42x = 103,752.24
  5. Step 5: Solve for x
    x = 103,752.24/356.42
  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.