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Finding the Fourth Proportional to 218.90, 302.02 and 156.71

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Solution

The fourth proportional to 218.90, 302.02 and 156.71 is: 216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.90 : 302.02 = 156.71 : x
  2. Step 2: Convert to fraction form
    218.90/302.02 = 156.71/x
  3. Step 3: Cross multiply
    218.90x = 302.02 × 156.71
  4. Step 4: Simplify right side
    218.90x = 47,329.92
  5. Step 5: Solve for x
    x = 47,329.92/218.90
  6. Step 6: Final answer
    x = 216.22

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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.