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Finding the Fourth Proportional to 288.69, 432.64 and 126.17

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Solution

The fourth proportional to 288.69, 432.64 and 126.17 is: 189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.69 : 432.64 = 126.17 : x
  2. Step 2: Convert to fraction form
    288.69/432.64 = 126.17/x
  3. Step 3: Cross multiply
    288.69x = 432.64 × 126.17
  4. Step 4: Simplify right side
    288.69x = 54,586.19
  5. Step 5: Solve for x
    x = 54,586.19/288.69
  6. Step 6: Final answer
    x = 189.08

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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.