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Finding the Fourth Proportional to 384.14, 575.64 and 178.67

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Solution

The fourth proportional to 384.14, 575.64 and 178.67 is: 267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.14 : 575.64 = 178.67 : x
  2. Step 2: Convert to fraction form
    384.14/575.64 = 178.67/x
  3. Step 3: Cross multiply
    384.14x = 575.64 × 178.67
  4. Step 4: Simplify right side
    384.14x = 102,851.04
  5. Step 5: Solve for x
    x = 102,851.04/384.14
  6. Step 6: Final answer
    x = 267.74

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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.