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Finding the Fourth Proportional to 368.23, 508.14 and 202.43

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Solution

The fourth proportional to 368.23, 508.14 and 202.43 is: 279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.23 : 508.14 = 202.43 : x
  2. Step 2: Convert to fraction form
    368.23/508.14 = 202.43/x
  3. Step 3: Cross multiply
    368.23x = 508.14 × 202.43
  4. Step 4: Simplify right side
    368.23x = 102,860.24
  5. Step 5: Solve for x
    x = 102,860.24/368.23
  6. Step 6: Final answer
    x = 279.34

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