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Finding the Fourth Proportional to 368.02, 507.84 and 202.23

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Solution

The fourth proportional to 368.02, 507.84 and 202.23 is: 279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.02 : 507.84 = 202.23 : x
  2. Step 2: Convert to fraction form
    368.02/507.84 = 202.23/x
  3. Step 3: Cross multiply
    368.02x = 507.84 × 202.23
  4. Step 4: Simplify right side
    368.02x = 102,697.94
  5. Step 5: Solve for x
    x = 102,697.94/368.02
  6. Step 6: Final answer
    x = 279.06

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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.