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Finding the Fourth Proportional to 259.30, 358.05 and 172.36

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Solution

The fourth proportional to 259.30, 358.05 and 172.36 is: 238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.30 : 358.05 = 172.36 : x
  2. Step 2: Convert to fraction form
    259.30/358.05 = 172.36/x
  3. Step 3: Cross multiply
    259.30x = 358.05 × 172.36
  4. Step 4: Simplify right side
    259.30x = 61,713.50
  5. Step 5: Solve for x
    x = 61,713.50/259.30
  6. Step 6: Final answer
    x = 238.00

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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.