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Finding the Fourth Proportional to 229.52, 344 and 175.64

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Solution

The fourth proportional to 229.52, 344 and 175.64 is: 263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.52 : 344 = 175.64 : x
  2. Step 2: Convert to fraction form
    229.52/344 = 175.64/x
  3. Step 3: Cross multiply
    229.52x = 344 × 175.64
  4. Step 4: Simplify right side
    229.52x = 60,420.16
  5. Step 5: Solve for x
    x = 60,420.16/229.52
  6. Step 6: Final answer
    x = 263.25

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