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Finding the Fourth Proportional to 292.54, 438.84 and 110.08

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Solution

The fourth proportional to 292.54, 438.84 and 110.08 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.54 : 438.84 = 110.08 : x
  2. Step 2: Convert to fraction form
    292.54/438.84 = 110.08/x
  3. Step 3: Cross multiply
    292.54x = 438.84 × 110.08
  4. Step 4: Simplify right side
    292.54x = 48,307.51
  5. Step 5: Solve for x
    x = 48,307.51/292.54
  6. Step 6: Final answer
    x = 165.13

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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.