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Finding the Fourth Proportional to 175.35, 263.55 and 145.11

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Solution

The fourth proportional to 175.35, 263.55 and 145.11 is: 218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.35 : 263.55 = 145.11 : x
  2. Step 2: Convert to fraction form
    175.35/263.55 = 145.11/x
  3. Step 3: Cross multiply
    175.35x = 263.55 × 145.11
  4. Step 4: Simplify right side
    175.35x = 38,243.74
  5. Step 5: Solve for x
    x = 38,243.74/175.35
  6. Step 6: Final answer
    x = 218.10

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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.