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Finding the Fourth Proportional to 384.09, 575.76 and 152.91

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Solution

The fourth proportional to 384.09, 575.76 and 152.91 is: 229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.09 : 575.76 = 152.91 : x
  2. Step 2: Convert to fraction form
    384.09/575.76 = 152.91/x
  3. Step 3: Cross multiply
    384.09x = 575.76 × 152.91
  4. Step 4: Simplify right side
    384.09x = 88,039.46
  5. Step 5: Solve for x
    x = 88,039.46/384.09
  6. Step 6: Final answer
    x = 229.22

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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.