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Finding the Fourth Proportional to 356.09, 532.77 and 202.09

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Solution

The fourth proportional to 356.09, 532.77 and 202.09 is: 302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.09 : 532.77 = 202.09 : x
  2. Step 2: Convert to fraction form
    356.09/532.77 = 202.09/x
  3. Step 3: Cross multiply
    356.09x = 532.77 × 202.09
  4. Step 4: Simplify right side
    356.09x = 107,669.33
  5. Step 5: Solve for x
    x = 107,669.33/356.09
  6. Step 6: Final answer
    x = 302.36

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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.