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Finding the Fourth Proportional to 288.01, 431.95 and 150.99

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Solution

The fourth proportional to 288.01, 431.95 and 150.99 is: 226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.01 : 431.95 = 150.99 : x
  2. Step 2: Convert to fraction form
    288.01/431.95 = 150.99/x
  3. Step 3: Cross multiply
    288.01x = 431.95 × 150.99
  4. Step 4: Simplify right side
    288.01x = 65,220.13
  5. Step 5: Solve for x
    x = 65,220.13/288.01
  6. Step 6: Final answer
    x = 226.45

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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.