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Finding the Fourth Proportional to 210.24, 315.46 and 145.34

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Solution

The fourth proportional to 210.24, 315.46 and 145.34 is: 218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.24 : 315.46 = 145.34 : x
  2. Step 2: Convert to fraction form
    210.24/315.46 = 145.34/x
  3. Step 3: Cross multiply
    210.24x = 315.46 × 145.34
  4. Step 4: Simplify right side
    210.24x = 45,848.74
  5. Step 5: Solve for x
    x = 45,848.74/210.24
  6. Step 6: Final answer
    x = 218.08

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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.