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Finding the Fourth Proportional to 287.32, 430.42 and 157.12

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Solution

The fourth proportional to 287.32, 430.42 and 157.12 is: 235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.32 : 430.42 = 157.12 : x
  2. Step 2: Convert to fraction form
    287.32/430.42 = 157.12/x
  3. Step 3: Cross multiply
    287.32x = 430.42 × 157.12
  4. Step 4: Simplify right side
    287.32x = 67,627.59
  5. Step 5: Solve for x
    x = 67,627.59/287.32
  6. Step 6: Final answer
    x = 235.37

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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.