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Finding the Fourth Proportional to 211.71, 292.06 and 145.34

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Solution

The fourth proportional to 211.71, 292.06 and 145.34 is: 200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.71 : 292.06 = 145.34 : x
  2. Step 2: Convert to fraction form
    211.71/292.06 = 145.34/x
  3. Step 3: Cross multiply
    211.71x = 292.06 × 145.34
  4. Step 4: Simplify right side
    211.71x = 42,448.64
  5. Step 5: Solve for x
    x = 42,448.64/211.71
  6. Step 6: Final answer
    x = 200.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.