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Finding the Fourth Proportional to 253.40, 345.20 and 253.40

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Solution

The fourth proportional to 253.40, 345.20 and 253.40 is: 345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.40 : 345.20 = 253.40 : x
  2. Step 2: Convert to fraction form
    253.40/345.20 = 253.40/x
  3. Step 3: Cross multiply
    253.40x = 345.20 × 253.40
  4. Step 4: Simplify right side
    253.40x = 87,473.68
  5. Step 5: Solve for x
    x = 87,473.68/253.40
  6. Step 6: Final answer
    x = 345.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.