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Finding the Fourth Proportional to 259.65, 358.29 and 210.51

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Solution

The fourth proportional to 259.65, 358.29 and 210.51 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.65 : 358.29 = 210.51 : x
  2. Step 2: Convert to fraction form
    259.65/358.29 = 210.51/x
  3. Step 3: Cross multiply
    259.65x = 358.29 × 210.51
  4. Step 4: Simplify right side
    259.65x = 75,423.63
  5. Step 5: Solve for x
    x = 75,423.63/259.65
  6. Step 6: Final answer
    x = 290.48

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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.