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Finding the Fourth Proportional to 229.76, 344.71 and 153.02

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Solution

The fourth proportional to 229.76, 344.71 and 153.02 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 344.71 = 153.02 : x
  2. Step 2: Convert to fraction form
    229.76/344.71 = 153.02/x
  3. Step 3: Cross multiply
    229.76x = 344.71 × 153.02
  4. Step 4: Simplify right side
    229.76x = 52,746.71
  5. Step 5: Solve for x
    x = 52,746.71/229.76
  6. Step 6: Final answer
    x = 229.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.