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Finding the Fourth Proportional to 259.96, 358.72 and 155.08

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Solution

The fourth proportional to 259.96, 358.72 and 155.08 is: 214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.96 : 358.72 = 155.08 : x
  2. Step 2: Convert to fraction form
    259.96/358.72 = 155.08/x
  3. Step 3: Cross multiply
    259.96x = 358.72 × 155.08
  4. Step 4: Simplify right side
    259.96x = 55,630.30
  5. Step 5: Solve for x
    x = 55,630.30/259.96
  6. Step 6: Final answer
    x = 214.00

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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.