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Finding the Fourth Proportional to 216.60, 299 and 146.71

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Solution

The fourth proportional to 216.60, 299 and 146.71 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.60 : 299 = 146.71 : x
  2. Step 2: Convert to fraction form
    216.60/299 = 146.71/x
  3. Step 3: Cross multiply
    216.60x = 299 × 146.71
  4. Step 4: Simplify right side
    216.60x = 43,866.29
  5. Step 5: Solve for x
    x = 43,866.29/216.60
  6. Step 6: Final answer
    x = 202.52

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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.