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Finding the Fourth Proportional to 271.28, 407.53 and 180.16

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Solution

The fourth proportional to 271.28, 407.53 and 180.16 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.28 : 407.53 = 180.16 : x
  2. Step 2: Convert to fraction form
    271.28/407.53 = 180.16/x
  3. Step 3: Cross multiply
    271.28x = 407.53 × 180.16
  4. Step 4: Simplify right side
    271.28x = 73,419.81
  5. Step 5: Solve for x
    x = 73,419.81/271.28
  6. Step 6: Final answer
    x = 270.64

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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.