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Finding the Fourth Proportional to 210.03, 315.21 and 145.48

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Solution

The fourth proportional to 210.03, 315.21 and 145.48 is: 218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.03 : 315.21 = 145.48 : x
  2. Step 2: Convert to fraction form
    210.03/315.21 = 145.48/x
  3. Step 3: Cross multiply
    210.03x = 315.21 × 145.48
  4. Step 4: Simplify right side
    210.03x = 45,857.93
  5. Step 5: Solve for x
    x = 45,857.93/210.03
  6. Step 6: Final answer
    x = 218.34

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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.