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Finding the Fourth Proportional to 259.10, 357.55 and 147.06

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Solution

The fourth proportional to 259.10, 357.55 and 147.06 is: 202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 357.55 = 147.06 : x
  2. Step 2: Convert to fraction form
    259.10/357.55 = 147.06/x
  3. Step 3: Cross multiply
    259.10x = 357.55 × 147.06
  4. Step 4: Simplify right side
    259.10x = 52,580.94
  5. Step 5: Solve for x
    x = 52,580.94/259.10
  6. Step 6: Final answer
    x = 202.94

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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.