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Finding the Fourth Proportional to 218.80, 301.98 and 156.58

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Solution

The fourth proportional to 218.80, 301.98 and 156.58 is: 216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.80 : 301.98 = 156.58 : x
  2. Step 2: Convert to fraction form
    218.80/301.98 = 156.58/x
  3. Step 3: Cross multiply
    218.80x = 301.98 × 156.58
  4. Step 4: Simplify right side
    218.80x = 47,284.03
  5. Step 5: Solve for x
    x = 47,284.03/218.80
  6. Step 6: Final answer
    x = 216.11

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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.