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Finding the Fourth Proportional to 230, 317.50 and 152.42

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Solution

The fourth proportional to 230, 317.50 and 152.42 is: 210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 317.50 = 152.42 : x
  2. Step 2: Convert to fraction form
    230/317.50 = 152.42/x
  3. Step 3: Cross multiply
    230x = 317.50 × 152.42
  4. Step 4: Simplify right side
    230x = 48,393.35
  5. Step 5: Solve for x
    x = 48,393.35/230
  6. Step 6: Final answer
    x = 210.41

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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.