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Finding the Fourth Proportional to 288.57, 432.58 and 105.91

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Solution

The fourth proportional to 288.57, 432.58 and 105.91 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.57 : 432.58 = 105.91 : x
  2. Step 2: Convert to fraction form
    288.57/432.58 = 105.91/x
  3. Step 3: Cross multiply
    288.57x = 432.58 × 105.91
  4. Step 4: Simplify right side
    288.57x = 45,814.28
  5. Step 5: Solve for x
    x = 45,814.28/288.57
  6. Step 6: Final answer
    x = 158.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.