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Finding the Fourth Proportional to 175.86, 263.47 and 172.02

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Solution

The fourth proportional to 175.86, 263.47 and 172.02 is: 257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.86 : 263.47 = 172.02 : x
  2. Step 2: Convert to fraction form
    175.86/263.47 = 172.02/x
  3. Step 3: Cross multiply
    175.86x = 263.47 × 172.02
  4. Step 4: Simplify right side
    175.86x = 45,322.11
  5. Step 5: Solve for x
    x = 45,322.11/175.86
  6. Step 6: Final answer
    x = 257.72

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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.