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Finding the Fourth Proportional to 257.01, 384.69 and 135.11

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Solution

The fourth proportional to 257.01, 384.69 and 135.11 is: 202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.01 : 384.69 = 135.11 : x
  2. Step 2: Convert to fraction form
    257.01/384.69 = 135.11/x
  3. Step 3: Cross multiply
    257.01x = 384.69 × 135.11
  4. Step 4: Simplify right side
    257.01x = 51,975.47
  5. Step 5: Solve for x
    x = 51,975.47/257.01
  6. Step 6: Final answer
    x = 202.23

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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.