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Finding the Fourth Proportional to 367.44, 507.06 and 210.10

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Solution

The fourth proportional to 367.44, 507.06 and 210.10 is: 289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.44 : 507.06 = 210.10 : x
  2. Step 2: Convert to fraction form
    367.44/507.06 = 210.10/x
  3. Step 3: Cross multiply
    367.44x = 507.06 × 210.10
  4. Step 4: Simplify right side
    367.44x = 106,533.31
  5. Step 5: Solve for x
    x = 106,533.31/367.44
  6. Step 6: Final answer
    x = 289.93

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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.