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Finding the Fourth Proportional to 287.41, 430.57 and 165.64

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Solution

The fourth proportional to 287.41, 430.57 and 165.64 is: 248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.41 : 430.57 = 165.64 : x
  2. Step 2: Convert to fraction form
    287.41/430.57 = 165.64/x
  3. Step 3: Cross multiply
    287.41x = 430.57 × 165.64
  4. Step 4: Simplify right side
    287.41x = 71,319.61
  5. Step 5: Solve for x
    x = 71,319.61/287.41
  6. Step 6: Final answer
    x = 248.15

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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.