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Finding the Fourth Proportional to 175.62, 242.23 and 109.24

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Solution

The fourth proportional to 175.62, 242.23 and 109.24 is: 150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.62 : 242.23 = 109.24 : x
  2. Step 2: Convert to fraction form
    175.62/242.23 = 109.24/x
  3. Step 3: Cross multiply
    175.62x = 242.23 × 109.24
  4. Step 4: Simplify right side
    175.62x = 26,461.21
  5. Step 5: Solve for x
    x = 26,461.21/175.62
  6. Step 6: Final answer
    x = 150.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.