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Finding the Fourth Proportional to 257.12, 383.93 and 202.40

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Solution

The fourth proportional to 257.12, 383.93 and 202.40 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.12 : 383.93 = 202.40 : x
  2. Step 2: Convert to fraction form
    257.12/383.93 = 202.40/x
  3. Step 3: Cross multiply
    257.12x = 383.93 × 202.40
  4. Step 4: Simplify right side
    257.12x = 77,707.43
  5. Step 5: Solve for x
    x = 77,707.43/257.12
  6. Step 6: Final answer
    x = 302.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.