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Finding the Fourth Proportional to 151.12, 208.44 and 114.16

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Solution

The fourth proportional to 151.12, 208.44 and 114.16 is: 157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.12 : 208.44 = 114.16 : x
  2. Step 2: Convert to fraction form
    151.12/208.44 = 114.16/x
  3. Step 3: Cross multiply
    151.12x = 208.44 × 114.16
  4. Step 4: Simplify right side
    151.12x = 23,795.51
  5. Step 5: Solve for x
    x = 23,795.51/151.12
  6. Step 6: Final answer
    x = 157.46

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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.