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Finding the Fourth Proportional to 253.13, 379.75 and 99.07

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Solution

The fourth proportional to 253.13, 379.75 and 99.07 is: 148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.13 : 379.75 = 99.07 : x
  2. Step 2: Convert to fraction form
    253.13/379.75 = 99.07/x
  3. Step 3: Cross multiply
    253.13x = 379.75 × 99.07
  4. Step 4: Simplify right side
    253.13x = 37,621.83
  5. Step 5: Solve for x
    x = 37,621.83/253.13
  6. Step 6: Final answer
    x = 148.63

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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.