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Finding the Fourth Proportional to 180.16, 268.66 and 173.16

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Solution

The fourth proportional to 180.16, 268.66 and 173.16 is: 258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 268.66 = 173.16 : x
  2. Step 2: Convert to fraction form
    180.16/268.66 = 173.16/x
  3. Step 3: Cross multiply
    180.16x = 268.66 × 173.16
  4. Step 4: Simplify right side
    180.16x = 46,521.17
  5. Step 5: Solve for x
    x = 46,521.17/180.16
  6. Step 6: Final answer
    x = 258.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.