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Finding the Fourth Proportional to 368.19, 508.12 and 202.41

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Solution

The fourth proportional to 368.19, 508.12 and 202.41 is: 279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.19 : 508.12 = 202.41 : x
  2. Step 2: Convert to fraction form
    368.19/508.12 = 202.41/x
  3. Step 3: Cross multiply
    368.19x = 508.12 × 202.41
  4. Step 4: Simplify right side
    368.19x = 102,848.83
  5. Step 5: Solve for x
    x = 102,848.83/368.19
  6. Step 6: Final answer
    x = 279.34

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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.