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Finding the Fourth Proportional to 218.97, 302.54 and 175.84

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Solution

The fourth proportional to 218.97, 302.54 and 175.84 is: 242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.97 : 302.54 = 175.84 : x
  2. Step 2: Convert to fraction form
    218.97/302.54 = 175.84/x
  3. Step 3: Cross multiply
    218.97x = 302.54 × 175.84
  4. Step 4: Simplify right side
    218.97x = 53,197.00
  5. Step 5: Solve for x
    x = 53,197.00/218.97
  6. Step 6: Final answer
    x = 242.94

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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.