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Finding the Fourth Proportional to 287.37, 430.80 and 114.16

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Solution

The fourth proportional to 287.37, 430.80 and 114.16 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.37 : 430.80 = 114.16 : x
  2. Step 2: Convert to fraction form
    287.37/430.80 = 114.16/x
  3. Step 3: Cross multiply
    287.37x = 430.80 × 114.16
  4. Step 4: Simplify right side
    287.37x = 49,177.97
  5. Step 5: Solve for x
    x = 49,177.97/287.37
  6. Step 6: Final answer
    x = 171.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.