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Finding the Fourth Proportional to 219.13, 302.26 and 175.57

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Solution

The fourth proportional to 219.13, 302.26 and 175.57 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.13 : 302.26 = 175.57 : x
  2. Step 2: Convert to fraction form
    219.13/302.26 = 175.57/x
  3. Step 3: Cross multiply
    219.13x = 302.26 × 175.57
  4. Step 4: Simplify right side
    219.13x = 53,065.84
  5. Step 5: Solve for x
    x = 53,065.84/219.13
  6. Step 6: Final answer
    x = 242.17

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