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Finding the Fourth Proportional to 288.06, 432.29 and 223.22

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Solution

The fourth proportional to 288.06, 432.29 and 223.22 is: 334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.06 : 432.29 = 223.22 : x
  2. Step 2: Convert to fraction form
    288.06/432.29 = 223.22/x
  3. Step 3: Cross multiply
    288.06x = 432.29 × 223.22
  4. Step 4: Simplify right side
    288.06x = 96,492.50
  5. Step 5: Solve for x
    x = 96,492.50/288.06
  6. Step 6: Final answer
    x = 334.97

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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.