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Finding the Fourth Proportional to 288.26, 432.32 and 114.89

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Solution

The fourth proportional to 288.26, 432.32 and 114.89 is: 172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.26 : 432.32 = 114.89 : x
  2. Step 2: Convert to fraction form
    288.26/432.32 = 114.89/x
  3. Step 3: Cross multiply
    288.26x = 432.32 × 114.89
  4. Step 4: Simplify right side
    288.26x = 49,666.51
  5. Step 5: Solve for x
    x = 49,666.51/288.26
  6. Step 6: Final answer
    x = 172.30

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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.