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Finding the Fourth Proportional to 259.40, 358.20 and 176.81

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Solution

The fourth proportional to 259.40, 358.20 and 176.81 is: 244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.40 : 358.20 = 176.81 : x
  2. Step 2: Convert to fraction form
    259.40/358.20 = 176.81/x
  3. Step 3: Cross multiply
    259.40x = 358.20 × 176.81
  4. Step 4: Simplify right side
    259.40x = 63,331.55
  5. Step 5: Solve for x
    x = 63,331.55/259.40
  6. Step 6: Final answer
    x = 244.14

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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.