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Finding the Fourth Proportional to 217.51, 299.93 and 130.16

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Solution

The fourth proportional to 217.51, 299.93 and 130.16 is: 179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.51 : 299.93 = 130.16 : x
  2. Step 2: Convert to fraction form
    217.51/299.93 = 130.16/x
  3. Step 3: Cross multiply
    217.51x = 299.93 × 130.16
  4. Step 4: Simplify right side
    217.51x = 39,038.99
  5. Step 5: Solve for x
    x = 39,038.99/217.51
  6. Step 6: Final answer
    x = 179.48

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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.