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Finding the Fourth Proportional to 277.02, 415.80 and 213.30

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Solution

The fourth proportional to 277.02, 415.80 and 213.30 is: 320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 415.80 = 213.30 : x
  2. Step 2: Convert to fraction form
    277.02/415.80 = 213.30/x
  3. Step 3: Cross multiply
    277.02x = 415.80 × 213.30
  4. Step 4: Simplify right side
    277.02x = 88,690.14
  5. Step 5: Solve for x
    x = 88,690.14/277.02
  6. Step 6: Final answer
    x = 320.16

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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.