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Finding the Fourth Proportional to 287.53, 430.34 and 165.76

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Solution

The fourth proportional to 287.53, 430.34 and 165.76 is: 248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.53 : 430.34 = 165.76 : x
  2. Step 2: Convert to fraction form
    287.53/430.34 = 165.76/x
  3. Step 3: Cross multiply
    287.53x = 430.34 × 165.76
  4. Step 4: Simplify right side
    287.53x = 71,333.16
  5. Step 5: Solve for x
    x = 71,333.16/287.53
  6. Step 6: Final answer
    x = 248.09

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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.