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Finding the Fourth Proportional to 384.02, 575.47 and 198.51

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Solution

The fourth proportional to 384.02, 575.47 and 198.51 is: 297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.02 : 575.47 = 198.51 : x
  2. Step 2: Convert to fraction form
    384.02/575.47 = 198.51/x
  3. Step 3: Cross multiply
    384.02x = 575.47 × 198.51
  4. Step 4: Simplify right side
    384.02x = 114,235.42
  5. Step 5: Solve for x
    x = 114,235.42/384.02
  6. Step 6: Final answer
    x = 297.47

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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.