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Finding the Fourth Proportional to 290.76, 434.16 and 229.20

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Solution

The fourth proportional to 290.76, 434.16 and 229.20 is: 342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.76 : 434.16 = 229.20 : x
  2. Step 2: Convert to fraction form
    290.76/434.16 = 229.20/x
  3. Step 3: Cross multiply
    290.76x = 434.16 × 229.20
  4. Step 4: Simplify right side
    290.76x = 99,509.47
  5. Step 5: Solve for x
    x = 99,509.47/290.76
  6. Step 6: Final answer
    x = 342.24

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Why These Related Problems?

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