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Finding the Fourth Proportional to 287.89, 431.53 and 164.45

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Solution

The fourth proportional to 287.89, 431.53 and 164.45 is: 246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.89 : 431.53 = 164.45 : x
  2. Step 2: Convert to fraction form
    287.89/431.53 = 164.45/x
  3. Step 3: Cross multiply
    287.89x = 431.53 × 164.45
  4. Step 4: Simplify right side
    287.89x = 70,965.11
  5. Step 5: Solve for x
    x = 70,965.11/287.89
  6. Step 6: Final answer
    x = 246.50

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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.