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Finding the Fourth Proportional to 368.32, 508.29 and 202.54

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Solution

The fourth proportional to 368.32, 508.29 and 202.54 is: 279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.32 : 508.29 = 202.54 : x
  2. Step 2: Convert to fraction form
    368.32/508.29 = 202.54/x
  3. Step 3: Cross multiply
    368.32x = 508.29 × 202.54
  4. Step 4: Simplify right side
    368.32x = 102,949.06
  5. Step 5: Solve for x
    x = 102,949.06/368.32
  6. Step 6: Final answer
    x = 279.51

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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.