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Finding the Fourth Proportional to 368.34, 508.28 and 202.55

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Solution

The fourth proportional to 368.34, 508.28 and 202.55 is: 279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.34 : 508.28 = 202.55 : x
  2. Step 2: Convert to fraction form
    368.34/508.28 = 202.55/x
  3. Step 3: Cross multiply
    368.34x = 508.28 × 202.55
  4. Step 4: Simplify right side
    368.34x = 102,952.11
  5. Step 5: Solve for x
    x = 102,952.11/368.34
  6. Step 6: Final answer
    x = 279.50

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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.