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Finding the Fourth Proportional to 368.47, 508.47 and 202.68

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Solution

The fourth proportional to 368.47, 508.47 and 202.68 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.47 : 508.47 = 202.68 : x
  2. Step 2: Convert to fraction form
    368.47/508.47 = 202.68/x
  3. Step 3: Cross multiply
    368.47x = 508.47 × 202.68
  4. Step 4: Simplify right side
    368.47x = 103,054.03
  5. Step 5: Solve for x
    x = 103,054.03/368.47
  6. Step 6: Final answer
    x = 279.68

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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.