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Finding the Fourth Proportional to 368.09, 508.00 and 202.34

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Solution

The fourth proportional to 368.09, 508.00 and 202.34 is: 279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.09 : 508.00 = 202.34 : x
  2. Step 2: Convert to fraction form
    368.09/508.00 = 202.34/x
  3. Step 3: Cross multiply
    368.09x = 508.00 × 202.34
  4. Step 4: Simplify right side
    368.09x = 102,787.65
  5. Step 5: Solve for x
    x = 102,787.65/368.09
  6. Step 6: Final answer
    x = 279.24

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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.