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Finding the Fourth Proportional to 229.76, 317.20 and 152.26

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Solution

The fourth proportional to 229.76, 317.20 and 152.26 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 317.20 = 152.26 : x
  2. Step 2: Convert to fraction form
    229.76/317.20 = 152.26/x
  3. Step 3: Cross multiply
    229.76x = 317.20 × 152.26
  4. Step 4: Simplify right side
    229.76x = 48,296.87
  5. Step 5: Solve for x
    x = 48,296.87/229.76
  6. Step 6: Final answer
    x = 210.21

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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.