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Finding the Fourth Proportional to 365.02, 546.66 and 202.30

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Solution

The fourth proportional to 365.02, 546.66 and 202.30 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.02 : 546.66 = 202.30 : x
  2. Step 2: Convert to fraction form
    365.02/546.66 = 202.30/x
  3. Step 3: Cross multiply
    365.02x = 546.66 × 202.30
  4. Step 4: Simplify right side
    365.02x = 110,589.32
  5. Step 5: Solve for x
    x = 110,589.32/365.02
  6. Step 6: Final answer
    x = 302.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.