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Finding the Fourth Proportional to 229.53, 316.68 and 151.00

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Solution

The fourth proportional to 229.53, 316.68 and 151.00 is: 208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.53 : 316.68 = 151.00 : x
  2. Step 2: Convert to fraction form
    229.53/316.68 = 151.00/x
  3. Step 3: Cross multiply
    229.53x = 316.68 × 151.00
  4. Step 4: Simplify right side
    229.53x = 47,817.32
  5. Step 5: Solve for x
    x = 47,817.32/229.53
  6. Step 6: Final answer
    x = 208.32

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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.