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Finding the Fourth Proportional to 287.30, 431.16 and 114.01

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Solution

The fourth proportional to 287.30, 431.16 and 114.01 is: 171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.30 : 431.16 = 114.01 : x
  2. Step 2: Convert to fraction form
    287.30/431.16 = 114.01/x
  3. Step 3: Cross multiply
    287.30x = 431.16 × 114.01
  4. Step 4: Simplify right side
    287.30x = 49,155.19
  5. Step 5: Solve for x
    x = 49,155.19/287.30
  6. Step 6: Final answer
    x = 171.09

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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.