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Finding the Fourth Proportional to 355.14, 532.53 and 120.80

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Solution

The fourth proportional to 355.14, 532.53 and 120.80 is: 181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 532.53 = 120.80 : x
  2. Step 2: Convert to fraction form
    355.14/532.53 = 120.80/x
  3. Step 3: Cross multiply
    355.14x = 532.53 × 120.80
  4. Step 4: Simplify right side
    355.14x = 64,328.42
  5. Step 5: Solve for x
    x = 64,328.42/355.14
  6. Step 6: Final answer
    x = 181.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.