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Finding the Fourth Proportional to 229, 341.42 and 215.23

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Solution

The fourth proportional to 229, 341.42 and 215.23 is: 320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229 : 341.42 = 215.23 : x
  2. Step 2: Convert to fraction form
    229/341.42 = 215.23/x
  3. Step 3: Cross multiply
    229x = 341.42 × 215.23
  4. Step 4: Simplify right side
    229x = 73,482.75
  5. Step 5: Solve for x
    x = 73,482.75/229
  6. Step 6: Final answer
    x = 320.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.