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Finding the Fourth Proportional to 240.30, 345.60 and 240.30

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Solution

The fourth proportional to 240.30, 345.60 and 240.30 is: 345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.30 : 345.60 = 240.30 : x
  2. Step 2: Convert to fraction form
    240.30/345.60 = 240.30/x
  3. Step 3: Cross multiply
    240.30x = 345.60 × 240.30
  4. Step 4: Simplify right side
    240.30x = 83,047.68
  5. Step 5: Solve for x
    x = 83,047.68/240.30
  6. Step 6: Final answer
    x = 345.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.