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Finding the Fourth Proportional to 368.74, 508.84 and 202.94

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Solution

The fourth proportional to 368.74, 508.84 and 202.94 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.74 : 508.84 = 202.94 : x
  2. Step 2: Convert to fraction form
    368.74/508.84 = 202.94/x
  3. Step 3: Cross multiply
    368.74x = 508.84 × 202.94
  4. Step 4: Simplify right side
    368.74x = 103,262.72
  5. Step 5: Solve for x
    x = 103,262.72/368.74
  6. Step 6: Final answer
    x = 280.05

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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.