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Finding the Fourth Proportional to 152.52, 210.48 and 131.86

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Solution

The fourth proportional to 152.52, 210.48 and 131.86 is: 181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 210.48 = 131.86 : x
  2. Step 2: Convert to fraction form
    152.52/210.48 = 131.86/x
  3. Step 3: Cross multiply
    152.52x = 210.48 × 131.86
  4. Step 4: Simplify right side
    152.52x = 27,753.89
  5. Step 5: Solve for x
    x = 27,753.89/152.52
  6. Step 6: Final answer
    x = 181.97

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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.