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Finding the Fourth Proportional to 356.03, 533.88 and 197.62

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Solution

The fourth proportional to 356.03, 533.88 and 197.62 is: 296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.03 : 533.88 = 197.62 : x
  2. Step 2: Convert to fraction form
    356.03/533.88 = 197.62/x
  3. Step 3: Cross multiply
    356.03x = 533.88 × 197.62
  4. Step 4: Simplify right side
    356.03x = 105,501.71
  5. Step 5: Solve for x
    x = 105,501.71/356.03
  6. Step 6: Final answer
    x = 296.33

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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.