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Finding the Fourth Proportional to 216.69, 299.10 and 146.88

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Solution

The fourth proportional to 216.69, 299.10 and 146.88 is: 202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.69 : 299.10 = 146.88 : x
  2. Step 2: Convert to fraction form
    216.69/299.10 = 146.88/x
  3. Step 3: Cross multiply
    216.69x = 299.10 × 146.88
  4. Step 4: Simplify right side
    216.69x = 43,931.81
  5. Step 5: Solve for x
    x = 43,931.81/216.69
  6. Step 6: Final answer
    x = 202.74

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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.