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Finding the Fourth Proportional to 332.77, 498.98 and 150.06

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Solution

The fourth proportional to 332.77, 498.98 and 150.06 is: 225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.77 : 498.98 = 150.06 : x
  2. Step 2: Convert to fraction form
    332.77/498.98 = 150.06/x
  3. Step 3: Cross multiply
    332.77x = 498.98 × 150.06
  4. Step 4: Simplify right side
    332.77x = 74,879.19
  5. Step 5: Solve for x
    x = 74,879.19/332.77
  6. Step 6: Final answer
    x = 225.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.