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Finding the Fourth Proportional to 152.99, 210.50 and 132.20

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Solution

The fourth proportional to 152.99, 210.50 and 132.20 is: 181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.99 : 210.50 = 132.20 : x
  2. Step 2: Convert to fraction form
    152.99/210.50 = 132.20/x
  3. Step 3: Cross multiply
    152.99x = 210.50 × 132.20
  4. Step 4: Simplify right side
    152.99x = 27,827.67
  5. Step 5: Solve for x
    x = 27,827.67/152.99
  6. Step 6: Final answer
    x = 181.89

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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.