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Finding the Fourth Proportional to 228.16, 340.40 and 207.20

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Solution

The fourth proportional to 228.16, 340.40 and 207.20 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 340.40 = 207.20 : x
  2. Step 2: Convert to fraction form
    228.16/340.40 = 207.20/x
  3. Step 3: Cross multiply
    228.16x = 340.40 × 207.20
  4. Step 4: Simplify right side
    228.16x = 70,530.88
  5. Step 5: Solve for x
    x = 70,530.88/228.16
  6. Step 6: Final answer
    x = 309.13

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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.