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Finding the Fourth Proportional to 288.41, 432.35 and 114.99

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Solution

The fourth proportional to 288.41, 432.35 and 114.99 is: 172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.41 : 432.35 = 114.99 : x
  2. Step 2: Convert to fraction form
    288.41/432.35 = 114.99/x
  3. Step 3: Cross multiply
    288.41x = 432.35 × 114.99
  4. Step 4: Simplify right side
    288.41x = 49,713.76
  5. Step 5: Solve for x
    x = 49,713.76/288.41
  6. Step 6: Final answer
    x = 172.37

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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.