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Finding the Fourth Proportional to 253.15, 379.74 and 99.10

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Solution

The fourth proportional to 253.15, 379.74 and 99.10 is: 148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.15 : 379.74 = 99.10 : x
  2. Step 2: Convert to fraction form
    253.15/379.74 = 99.10/x
  3. Step 3: Cross multiply
    253.15x = 379.74 × 99.10
  4. Step 4: Simplify right side
    253.15x = 37,632.23
  5. Step 5: Solve for x
    x = 37,632.23/253.15
  6. Step 6: Final answer
    x = 148.66

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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.