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Finding the Fourth Proportional to 292.50, 438.45 and 130.02

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Solution

The fourth proportional to 292.50, 438.45 and 130.02 is: 194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.50 : 438.45 = 130.02 : x
  2. Step 2: Convert to fraction form
    292.50/438.45 = 130.02/x
  3. Step 3: Cross multiply
    292.50x = 438.45 × 130.02
  4. Step 4: Simplify right side
    292.50x = 57,007.27
  5. Step 5: Solve for x
    x = 57,007.27/292.50
  6. Step 6: Final answer
    x = 194.90

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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.