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Finding the Fourth Proportional to 292.53, 438.88 and 97.55

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Solution

The fourth proportional to 292.53, 438.88 and 97.55 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.53 : 438.88 = 97.55 : x
  2. Step 2: Convert to fraction form
    292.53/438.88 = 97.55/x
  3. Step 3: Cross multiply
    292.53x = 438.88 × 97.55
  4. Step 4: Simplify right side
    292.53x = 42,810.06
  5. Step 5: Solve for x
    x = 42,810.06/292.53
  6. Step 6: Final answer
    x = 146.34

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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.