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Finding the Fourth Proportional to 229.40, 316.01 and 182.93

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Solution

The fourth proportional to 229.40, 316.01 and 182.93 is: 252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.40 : 316.01 = 182.93 : x
  2. Step 2: Convert to fraction form
    229.40/316.01 = 182.93/x
  3. Step 3: Cross multiply
    229.40x = 316.01 × 182.93
  4. Step 4: Simplify right side
    229.40x = 57,807.71
  5. Step 5: Solve for x
    x = 57,807.71/229.40
  6. Step 6: Final answer
    x = 252.00

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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.