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Finding the Fourth Proportional to 271.64, 407.72 and 175.52

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Solution

The fourth proportional to 271.64, 407.72 and 175.52 is: 263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.64 : 407.72 = 175.52 : x
  2. Step 2: Convert to fraction form
    271.64/407.72 = 175.52/x
  3. Step 3: Cross multiply
    271.64x = 407.72 × 175.52
  4. Step 4: Simplify right side
    271.64x = 71,563.01
  5. Step 5: Solve for x
    x = 71,563.01/271.64
  6. Step 6: Final answer
    x = 263.45

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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.