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Finding the Fourth Proportional to 292.51, 438.67 and 87.02

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Solution

The fourth proportional to 292.51, 438.67 and 87.02 is: 130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.51 : 438.67 = 87.02 : x
  2. Step 2: Convert to fraction form
    292.51/438.67 = 87.02/x
  3. Step 3: Cross multiply
    292.51x = 438.67 × 87.02
  4. Step 4: Simplify right side
    292.51x = 38,173.06
  5. Step 5: Solve for x
    x = 38,173.06/292.51
  6. Step 6: Final answer
    x = 130.50

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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.