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Finding the Fourth Proportional to 384.11, 575.80 and 152.88

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Solution

The fourth proportional to 384.11, 575.80 and 152.88 is: 229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.11 : 575.80 = 152.88 : x
  2. Step 2: Convert to fraction form
    384.11/575.80 = 152.88/x
  3. Step 3: Cross multiply
    384.11x = 575.80 × 152.88
  4. Step 4: Simplify right side
    384.11x = 88,025.76
  5. Step 5: Solve for x
    x = 88,025.76/384.11
  6. Step 6: Final answer
    x = 229.17

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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.