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Finding the Fourth Proportional to 211.63, 291.72 and 146.02

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Solution

The fourth proportional to 211.63, 291.72 and 146.02 is: 201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.63 : 291.72 = 146.02 : x
  2. Step 2: Convert to fraction form
    211.63/291.72 = 146.02/x
  3. Step 3: Cross multiply
    211.63x = 291.72 × 146.02
  4. Step 4: Simplify right side
    211.63x = 42,596.95
  5. Step 5: Solve for x
    x = 42,596.95/211.63
  6. Step 6: Final answer
    x = 201.28

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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.