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Finding the Fourth Proportional to 288.47, 432.58 and 151.37

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Solution

The fourth proportional to 288.47, 432.58 and 151.37 is: 226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.47 : 432.58 = 151.37 : x
  2. Step 2: Convert to fraction form
    288.47/432.58 = 151.37/x
  3. Step 3: Cross multiply
    288.47x = 432.58 × 151.37
  4. Step 4: Simplify right side
    288.47x = 65,479.63
  5. Step 5: Solve for x
    x = 65,479.63/288.47
  6. Step 6: Final answer
    x = 226.99

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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.