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Finding the Fourth Proportional to 216.61, 298.99 and 146.75

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Solution

The fourth proportional to 216.61, 298.99 and 146.75 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.61 : 298.99 = 146.75 : x
  2. Step 2: Convert to fraction form
    216.61/298.99 = 146.75/x
  3. Step 3: Cross multiply
    216.61x = 298.99 × 146.75
  4. Step 4: Simplify right side
    216.61x = 43,875.47
  5. Step 5: Solve for x
    x = 43,875.47/216.61
  6. Step 6: Final answer
    x = 202.56

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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.