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Finding the Fourth Proportional to 287.33, 430.66 and 165.34

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Solution

The fourth proportional to 287.33, 430.66 and 165.34 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.33 : 430.66 = 165.34 : x
  2. Step 2: Convert to fraction form
    287.33/430.66 = 165.34/x
  3. Step 3: Cross multiply
    287.33x = 430.66 × 165.34
  4. Step 4: Simplify right side
    287.33x = 71,206.82
  5. Step 5: Solve for x
    x = 71,206.82/287.33
  6. Step 6: Final answer
    x = 247.82

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