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Finding the Fourth Proportional to 231.37, 319.18 and 152.58

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Solution

The fourth proportional to 231.37, 319.18 and 152.58 is: 210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.37 : 319.18 = 152.58 : x
  2. Step 2: Convert to fraction form
    231.37/319.18 = 152.58/x
  3. Step 3: Cross multiply
    231.37x = 319.18 × 152.58
  4. Step 4: Simplify right side
    231.37x = 48,700.10
  5. Step 5: Solve for x
    x = 48,700.10/231.37
  6. Step 6: Final answer
    x = 210.49

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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.