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Finding the Fourth Proportional to 245.13, 365.87 and 210.27

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Solution

The fourth proportional to 245.13, 365.87 and 210.27 is: 313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.13 : 365.87 = 210.27 : x
  2. Step 2: Convert to fraction form
    245.13/365.87 = 210.27/x
  3. Step 3: Cross multiply
    245.13x = 365.87 × 210.27
  4. Step 4: Simplify right side
    245.13x = 76,931.17
  5. Step 5: Solve for x
    x = 76,931.17/245.13
  6. Step 6: Final answer
    x = 313.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.