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Finding the Fourth Proportional to 152.57, 211.05 and 147.11

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Solution

The fourth proportional to 152.57, 211.05 and 147.11 is: 203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.57 : 211.05 = 147.11 : x
  2. Step 2: Convert to fraction form
    152.57/211.05 = 147.11/x
  3. Step 3: Cross multiply
    152.57x = 211.05 × 147.11
  4. Step 4: Simplify right side
    152.57x = 31,046.51
  5. Step 5: Solve for x
    x = 31,046.51/152.57
  6. Step 6: Final answer
    x = 203.50

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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.