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Finding the Fourth Proportional to 156.31, 214.60 and 152.29

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Solution

The fourth proportional to 156.31, 214.60 and 152.29 is: 209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.31 : 214.60 = 152.29 : x
  2. Step 2: Convert to fraction form
    156.31/214.60 = 152.29/x
  3. Step 3: Cross multiply
    156.31x = 214.60 × 152.29
  4. Step 4: Simplify right side
    156.31x = 32,680.52
  5. Step 5: Solve for x
    x = 32,680.52/156.31
  6. Step 6: Final answer
    x = 209.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.