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Finding the Fourth Proportional to 356.61, 533.88 and 202.26

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Solution

The fourth proportional to 356.61, 533.88 and 202.26 is: 302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.61 : 533.88 = 202.26 : x
  2. Step 2: Convert to fraction form
    356.61/533.88 = 202.26/x
  3. Step 3: Cross multiply
    356.61x = 533.88 × 202.26
  4. Step 4: Simplify right side
    356.61x = 107,982.57
  5. Step 5: Solve for x
    x = 107,982.57/356.61
  6. Step 6: Final answer
    x = 302.80

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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.