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Finding the Fourth Proportional to 210.02, 289.86 and 131.42

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Solution

The fourth proportional to 210.02, 289.86 and 131.42 is: 181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.02 : 289.86 = 131.42 : x
  2. Step 2: Convert to fraction form
    210.02/289.86 = 131.42/x
  3. Step 3: Cross multiply
    210.02x = 289.86 × 131.42
  4. Step 4: Simplify right side
    210.02x = 38,091.29
  5. Step 5: Solve for x
    x = 38,091.29/210.02
  6. Step 6: Final answer
    x = 181.37

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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.