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Finding the Fourth Proportional to 257.36, 385 and 242

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Solution

The fourth proportional to 257.36, 385 and 242 is: 362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.36 : 385 = 242 : x
  2. Step 2: Convert to fraction form
    257.36/385 = 242/x
  3. Step 3: Cross multiply
    257.36x = 385 × 242
  4. Step 4: Simplify right side
    257.36x = 93,170
  5. Step 5: Solve for x
    x = 93,170/257.36
  6. Step 6: Final answer
    x = 362.02

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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.