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Finding the Fourth Proportional to 259.58, 358.76 and 222.52

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Solution

The fourth proportional to 259.58, 358.76 and 222.52 is: 307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.58 : 358.76 = 222.52 : x
  2. Step 2: Convert to fraction form
    259.58/358.76 = 222.52/x
  3. Step 3: Cross multiply
    259.58x = 358.76 × 222.52
  4. Step 4: Simplify right side
    259.58x = 79,831.28
  5. Step 5: Solve for x
    x = 79,831.28/259.58
  6. Step 6: Final answer
    x = 307.54

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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.