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Finding the Fourth Proportional to 368.06, 507.92 and 202.28

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Solution

The fourth proportional to 368.06, 507.92 and 202.28 is: 279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.06 : 507.92 = 202.28 : x
  2. Step 2: Convert to fraction form
    368.06/507.92 = 202.28/x
  3. Step 3: Cross multiply
    368.06x = 507.92 × 202.28
  4. Step 4: Simplify right side
    368.06x = 102,739.46
  5. Step 5: Solve for x
    x = 102,739.46/368.06
  6. Step 6: Final answer
    x = 279.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.