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Finding the Fourth Proportional to 365.89, 504.93 and 200.10

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Solution

The fourth proportional to 365.89, 504.93 and 200.10 is: 276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.89 : 504.93 = 200.10 : x
  2. Step 2: Convert to fraction form
    365.89/504.93 = 200.10/x
  3. Step 3: Cross multiply
    365.89x = 504.93 × 200.10
  4. Step 4: Simplify right side
    365.89x = 101,036.49
  5. Step 5: Solve for x
    x = 101,036.49/365.89
  6. Step 6: Final answer
    x = 276.14

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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.