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Finding the Fourth Proportional to 219.50, 302.64 and 175.76

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Solution

The fourth proportional to 219.50, 302.64 and 175.76 is: 242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.50 : 302.64 = 175.76 : x
  2. Step 2: Convert to fraction form
    219.50/302.64 = 175.76/x
  3. Step 3: Cross multiply
    219.50x = 302.64 × 175.76
  4. Step 4: Simplify right side
    219.50x = 53,192.01
  5. Step 5: Solve for x
    x = 53,192.01/219.50
  6. Step 6: Final answer
    x = 242.33

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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.