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Finding the Fourth Proportional to 287.55, 431.53 and 114.26

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Solution

The fourth proportional to 287.55, 431.53 and 114.26 is: 171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.55 : 431.53 = 114.26 : x
  2. Step 2: Convert to fraction form
    287.55/431.53 = 114.26/x
  3. Step 3: Cross multiply
    287.55x = 431.53 × 114.26
  4. Step 4: Simplify right side
    287.55x = 49,304.46
  5. Step 5: Solve for x
    x = 49,304.46/287.55
  6. Step 6: Final answer
    x = 171.46

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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.